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Dissertations / Theses on the topic 'C* algebras'

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Published: 4 June 2021
Last updated: 25 July 2025

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1

Wood, Peter John, and drwoood@gmail com. "Wavelets and C*-algebras." Flinders University. Informatics and Engineering, 2003. http://catalogue.flinders.edu.au./local/adt/public/adt-SFU20070619.120926.

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A wavelet is a function which is used to construct a specific type of orthonormal basis. We are interested in using C*-algebras and Hilbert C*-modules to study wavelets. A Hilbert C*-module is a generalisation of a Hilbert space for which the inner product takes its values in a C*-algebra instead of the complex numbers. We study wavelets in an arbitrary Hilbert space and construct some Hilbert C*-modules over a group C*-algebra which will be used to study the properties of wavelets. We study wavelets by constructing Hilbert C*-modules over C*-algebras generated by groups of translations. We s
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2

Ng, Chi-Keung. "Coactions on C'*-algebras." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239318.

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3

Georgescu, Magdalena. "On the Similarity of Operator Algebras to C*-Algebras." Thesis, University of Waterloo, 2006. http://hdl.handle.net/10012/2932.

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This is an expository thesis which addresses the requirements for an operator algebra to be similar to a <em>C</em>*-algebra. It has been conjectured that this similarity condition is equivalent to either amenability or total reductivity; however, the problem has only been solved for specific types of operators. <br /><br /> We define amenability and total reductivity, as well as present some of the implications of these properties. For the purpose of establishing the desired result in specific cases, we describe the properties of two well-known types of operators, namely the compac
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4

Samuel, Johathan Niall. "C*-algebras of sofic shifts." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ37363.pdf.

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5

He, Xiao. "W-algebras Associated to Truncated Current Lie Algebras." Doctoral thesis, Université Laval, 2018. http://hdl.handle.net/20.500.11794/30327.

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Étant donné une algèbre de Lie g semi-simple de dimension finie et un élément nilpotent non nul e 2 g, on peut construire plusieurs algèbres-W associées à (g; e). Parmi eux, l’algèbre-W affine est une algèbre vertex qui peut être réalisée comme une cohomologie semi-infinie d’une sous-algèbre nilpotente de ~g, où ~g est l’algèbre de Kac-Moody associée à g. L’algèbre-W finie est l’algèbre de Zhu de l’algèbre-W affine. Dans les constructions des algèbres-W, une forme bilinéaire non dégénérée invariante et une bonne Z-graduation de g jouent des rôles essentiels. Les algèbres de courants tronqués a
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Buck, Julian Michael 1982. "Crossed product C*-algebras of certain non-simple C*-algebras and the tracial quasi-Rokhlin property." Thesis, University of Oregon, 2010. http://hdl.handle.net/1794/10849.

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viii, 113 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.<br>This dissertation consists of four principal parts. In the first, we introduce the tracial quasi-Rokhlin property for an automorphism α of a C *-algebra A (which is not assumed to be simple or to contain any projections). We then prove that under suitable assumptions on the algebra A , the associated crossed product C *-algebra C *([Special characters omitted.] , A , α) is simple, and the restriction map between the tracial states of C *([Special cha
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7

Grundling, Hendrik, and hendrik@maths unsw edu au. "Host Algebras." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi896.ps.

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8

Ordonez-Delgado, Bartleby. "Algebras of Toeplitz Operators." Thesis, Virginia Tech, 2006. http://hdl.handle.net/10919/32378.

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In this work we examine C*-algebras of Toeplitz operators over the unit ball in C^n and the unit polydisc in C^2. Toeplitz operators are interesting examples of non-normal operators that generate non-commutative C*-algebras. Moreover, in the nice cases (depending on the geometry of the domain) of algebras of Toeplitz operators we can recover some analogues of the spectral theorem up to compact operators. In this setting, we can capture the index of a Fredholm operator which is a fundamental numerical invariant in Operator Theory.<br>Master of Science
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9

Cantier, Laurent. "A new invariant for C*-algebras." Doctoral thesis, TDX (Tesis Doctorals en Xarxa), 2020. http://hdl.handle.net/10803/670429.

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L'objectiu principal d'aquesta tesi és l'estudi d'un nou invariant per a C*-àlgebres, anomenat el semigrup Cu1. La classificació de C*-àlgebres ha guanyat molt terreny durant les últimes dècades. En aquests treballs destaquen dos objectes principals: l'invariant original d'Elliott, que consta de la informació de teoria-K, juntament amb traces i l'aparellament entre aquests; i el semigrup Cuntz. El primer ha resultat molt efectiu en la classificació, principalment per C*-àlgebres simples. El segon es va introduir a finals dels anys 70 com una versió anàloga del monoide de Murray von-Neumann, ll
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10

Flournoy, Cecil Buford Jr. "N-parameter Fibonacci AF C*-Algebras." Diss., University of Iowa, 2011. https://ir.uiowa.edu/etd/1221.

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An n-parameter Fibonacci AF-algebra is determined by a constant incidence matrix K of a special form. The form of the matrix K is defined by a given n-parameter Fibonacci sequence. We compute the K-theory of certain Fibonacci AF-algebra, and relate their K-theory to the K-theory of an AF-algebra defined by incidence matrices that are the transpose of K.
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11

Rabinovich, Vladimir, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "C*-algebras of ISO's with oscillating symbols." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2584/.

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For a domain D subset of IRn with singular points on the boundary and a weight function ω infinitely differentiable away from the singularpoints in D, we consider a C*-algebra G (D; ω) of operators acting in the weighted space L² (D, ω). It is generated by the operators XD F-¹ σ F XD where σ is a homogeneous function. We show that the techniques of limit operators apply to define a symbol algebra for G (D; ω). When combined with the local principle, this leads to describing the Fredholm operators in G (D; ω).
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Dean, Andrew James. "A continuous field of projectionless C*-algebras." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq41013.pdf.

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13

Hawkins, Andrew. "Constructions of spectral triples on C*-algebras." Thesis, University of Nottingham, 2013. http://eprints.nottingham.ac.uk/13506/.

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We present some techniques in the construction of spectral triples for C*-algebras, in particular those which determine a compatible metric on the state space, which provides a noncommutative analogue of geodesic distance between points on a manifold. The main body of the thesis comprises three sections. In the first, we provide a further analysis on the existence of spectral triples on crossed products by discrete groups and their interplay with classical metric dynamics. Dynamical systems arising from non-unital C*-algebras and certain semidirect products of groups are considered. The second
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14

Kankeyanathan, Kannan. "On approximation properties of group C*-algebras." Thesis, University of Southampton, 2011. https://eprints.soton.ac.uk/208331/.

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In this thesis we study analytic techniques from operator theory that encapsulate geometric properties of a group. Rapid Decay Property (Property RD) provides estimates for the operator norm of elements of the group ring (in the left-regular representation) in terms of the Sobolev norm. Roughly, property RD is the noncommutative analogue of the fact that smooth functions are continuous. Our work then concentrates on a particular form of an approximation property for the reduced C*- algebra of a group: the invariant approximation property. This statement captures a particular relationship betwe
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15

DUMITRU, ALINA RALUCA. "COMPACT QUANTUM GROUP ACTIONS ON C*-ALGEBRAS." University of Cincinnati / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1178900803.

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16

Gregson, Kevin D. "Extensions of pure states of C*-algebras." Thesis, University of Aberdeen, 1986. http://digitool.abdn.ac.uk/R?func=search-advanced-go&find_code1=WSN&request1=AAIU366512.

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Let A be a C*-algebra and B be a C*-subalgebra of A. B is said to have the extension property in A if every pure state of B has unique state extension to A. Such pairs (A, B) are considered where B is a maximal abelian self-adjoint subalgebra (masa) of A with the extension property. For A unital and n-homogeneous, results are obtained for the structure of (A, B) as fibre bundles over the primitive ideal space of A (2.2). For A a Type I C -algebra, necessary and sufficient conditions are given for B" to be maximal abelian in A" for all representations of A (2.3). The problem of whether an atomi
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17

Lee, Wha-Suck. "Ideal perturbation of elements in C*-algebras." Diss., Pretoria : [s.n.], 2004. http://upetd.up.ac.za/thesis/available/etd-01182005-113356.

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18

Günther, Janne-Kathrin. "The C*-algebras of certain Lie groups." Thesis, Université de Lorraine, 2016. http://www.theses.fr/2016LORR0118/document.

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Dans la présente thèse de doctorat, les C*-algèbres des groupes de Lie connexes réels nilpotents de pas deux et du groupe de Lie SL(2,R) sont caractérisées. En outre, comme préparation à une analyse de sa C*-algèbre, la topologie du spectre du produit semi-direct U(n) x H_n est décrite, où H_n dénote le groupe de Lie de Heisenberg et U(n) le groupe unitaire qui agit sur H_n par automorphismes. Pour la détermination des C*-algèbres de groupes, la transformation de Fourier à valeurs opérationnelles est utilisée pour appliquer chaque C*-algèbre dans l'algèbre de tous les champs d'opérateurs borné
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Günther, Janne-Kathrin. "The C*-algebras of certain Lie groups." Electronic Thesis or Diss., Université de Lorraine, 2016. http://www.theses.fr/2016LORR0118.

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Dans la présente thèse de doctorat, les C*-algèbres des groupes de Lie connexes réels nilpotents de pas deux et du groupe de Lie SL(2,R) sont caractérisées. En outre, comme préparation à une analyse de sa C*-algèbre, la topologie du spectre du produit semi-direct U(n) x H_n est décrite, où H_n dénote le groupe de Lie de Heisenberg et U(n) le groupe unitaire qui agit sur H_n par automorphismes. Pour la détermination des C*-algèbres de groupes, la transformation de Fourier à valeurs opérationnelles est utilisée pour appliquer chaque C*-algèbre dans l'algèbre de tous les champs d'opérateurs borné
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20

Ordoñez, Delgado Bartleby. "Algebras de operadores Toeplitz." Bachelor's thesis, Universidad Nacional Mayor de San Marcos, 2015. https://hdl.handle.net/20.500.12672/4344.

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En este trabajo examinamos los C*-algebras de operadores Toeplitz sobre la bola unitaria en Cn y en el polidisco unitario en C². Los operadores Toeplitz son ejemplos interesantes de operadores que no son operadores normales y que generan C*-algebras no conmutativas. Además, en los mejores casos de álgebras de operadores Toeplitz (dependiendo de la geometría del dominio) podemos recuperar algunos resultados análogos al teorema espectral módulo operadores compactos. En este contexto, podemos capturar el índice de un operador Fredholm que es un invariante numérico fundamental en Teoría de Operado
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21

Gardner, Ruaridh. "The Relative Nuclear Dimension of C*-Algebras, and the Nuclear Dimension of Generalised Toeplitz Algebras." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42335.

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We consider the class of generalised Toeplitz algebras; those C*-algebras that can be expressed as an extension of C(X) by the compact operators K, for some compact metrizable space X. We show that one can generalise the result of Brake and Winter, that the nuclear dimension of the Toeplitz algebra is 1, to show that for any generalised Toeplitz algebra its nuclear dimension must be equal to dim_nuc C(X). This shows that Brake and Winter's dimension reduction phenomenon is applicable to a much wider class of algebras. We also introduce our definition for the relative nuclear dimension of a C
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22

Shah, Masood Hussain. "Pure functionals and irreducible representations of C*-algebras." Thesis, University of Aberdeen, 1998. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=191155.

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Basic properties of pure functionals of a <I>C</I><sup>*</sup>-algebra are reviewed, and this is followed by an investigation of equivalent representations of a pure functional, restriction to ideals, and extension to bigger <I>C</I><sup>*</sup>-algebras. The relationship between notions of regularity for points in the spectrum of a <I>C</I><sup>*</sup>-algebra is studied. A localised version of Fell-Dixmier conditions for continuous trace of a <I>C</I><sup>*</sup>-algebra is obtained. The weak<sup>*</sup>-closure of the space of pure functionals of arbitrary and homogeneous <I>C</I><sup>*</su
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23

Livingston, Nancy Eleanor. "A class of simple tracially AF C*-algebras /." view abstract or download file of text, 2001. http://wwwlib.umi.com/cr/uoregon/fullcit?p3024521.

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Thesis (Ph. D.)--University of Oregon, 2001.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 62-63). Also available for download via the World Wide Web; free to University of Oregon users.
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24

Castillejos, Lopez Jorge. "Decomposable approximations and coloured isomorphisms for C*-algebras." Thesis, University of Glasgow, 2016. http://theses.gla.ac.uk/7650/.

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In this thesis we introduce nuclear dimension and compare it with a stronger form of the completely positive approximation property. We show that the approximations forming this stronger characterisation of the completely positive approximation property witness finite nuclear dimension if and only if the underlying C*-algebra is approximately finite dimensional. We also extend this result to nuclear dimension at most omega. We review interactions between separably acting injective von Neumann algebras and separable nuclear C*-algebras. In particular, we discuss aspects of Connes' work and how
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25

Catterall, Stephen. "Free products and continuous bundles of C*-algebras." Thesis, University of Glasgow, 2003. http://theses.gla.ac.uk/3865/.

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The purpose of this thesis is to investigate the properties of free products of C*-algebras and continuous bundles of C*-algebras. We also consider how these two areas are connected. In the first chapter we present background material relevant to the thesis. We discuss nuclearity, exactness and Hilbert C*-modules. Then we review the definitions and properties of bundles and free products of C*-algebras. The second chapter considers reduced amalgamated free products of C*-algebras. We show that, if the initial conditional expectations involved are all faithful, then the resulting free product c
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26

Sulaiman, Waadallah Tawfeeq. "Some classes of linear maps between C*-algebras." Thesis, Heriot-Watt University, 1985. http://hdl.handle.net/10399/1625.

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27

Blecher, David Peter. "Geometry of the tensor product of C*-algebras." Thesis, University of Edinburgh, 1988. http://hdl.handle.net/1842/10825.

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28

Dang, Son Xuan 1964. "The c-function for affine Kac-Moody algebras." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/290700.

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In this paper, we will first study the Harish-Chandra transform and the c-function for finite type Kac-Moody groups. The Harish-Chandra transform is essentially the Gelfand transform on L¹( K\G/K). From our point of view, the c-function arises as the Fourier transform of the diagonal distribution for Haar measures of K. A brief account of Kac-Moody algebras, especially affine Kac-Moody algebras, is also presented. Then we use a formula of Harish-Chandra for the c-function for finite type Kac-Moody groups to discuss the definition of the c-function for affine Kac-Moody algebras, especially t
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29

Willis, Paulette Nicole. "C*-algebras of labeled graphs and *-commuting endomorphisms." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/627.

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My research lies in the general area of functional analysis. I am particularly interested in C*-algebras and related dynamical systems. From the very beginning of the theory of operator algebras, in the works of Murray and von Neumann dating from the mid 1930's, dynamical systems and operator algebras have led a symbiotic existence. Murray and von Neumann's work grew from a few esoteric, but clearly original and prescient papers, to a ma jor river of contemporary mathematics. My work lies at the confluence of two important tributaries to this river. On the one hand, the operator algebras that
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30

McCormick, Kathryn. "Operator algebras, matrix bundles, and Riemann surfaces." Diss., University of Iowa, 2018. https://ir.uiowa.edu/etd/6469.

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Let $\overline{R}$ be a finitely bordered Riemann surface, and let $\mathfrak{E}_\rho(\overline{R})$ be a flat matrix $PU_n(\mathbb{C})$-bundle over $\overline{R}$. Let $\Gamma_c(\overline{R}, \mathfrak{E}(\overline{R}))$ denote the $C^*$-algebra of continuous cross-sections of $\mathfrak{E}(\overline{R})$, and let $\Gamma_h(\overline{R},\mathfrak{E}(\overline{R}))$ denote the subalgebra consisting of the continuous holomorphic sections, i.e.~the continuous cross-sections that are holomorphic on the interior of $\overline{R}$. The algebra $\Gamma_c(\overline{R}, \mathfrak{E}(\overline{R}))$ is
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31

Thom, Andreas Berthold. "Connective E-theory and bivariant homology for C*-algebras." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=968501311.

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32

Archey, Dawn Elizabeth. "Crossed product C*-algebras by finite group actions with a generalized tracial Rokhlin property /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2008. http://hdl.handle.net/1794/8155.

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Thesis (Ph. D.)--University of Oregon, 2008.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaves 105-107). Also available online in Scholars' Bank; and in ProQuest, free to University of Oregon users.
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Somerset, Douglas W. B. "Quasi-standard c*-algebras and norms of inner derivations." Thesis, University of Oxford, 1989. http://ora.ox.ac.uk/objects/uuid:ab71e110-d152-473e-ad13-8f09fcd7d7c4.

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In the first half of the thesis a necessary and sufficient condition is given for a separable C*-algebra to be *-isomorphic to a maximal full algebra of cross-sections over a base-space such that the fibre algebras are primitive throughout a dense subset. The condition is that the relation of inseparability for pairs of points in the primitive ideal space should be an open equivalence relation. In the second half of the thesis a characterisation is given of those C*- algebras A for which each self-adjoint inner derivation D(α, A) satisfies ∥D(α, A)∥ = 2 inf {∥α-z∥ : z ∈Z(A), the centre of A}.
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34

Oerder, Kyle. "Operator algebras and quantum information." Diss., University of Pretoria, 2020. http://hdl.handle.net/2263/75515.

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The C*-algebra representation of a physical system provides an ideal backdrop for the study of bipartite entanglement, as a natural definition of separability emerges as a direct consequence of the non-abelian nature of quantum systems under this formulation. The focus of this dissertation is the quantification of entanglement for infinite dimensional systems. The use of Choquet’s theory of boundary integrals allows for an integral representation of the states on a C*-algebra and subsequent adaptation of the Convex Roof Measures to infinite dimensional systems. Another measure of entanglement,
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Razak, Shaloub. "On the classification of simple stably projectionless C*-algebras." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ53782.pdf.

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36

DeRango, Alessandro. "C*-algebras associated with homeomorphisms of the unit circle." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ53780.pdf.

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37

Ruddy, Conal. "The structure of spectral isometries on C[asterisk]-algebras." Thesis, Queen's University Belfast, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437542.

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38

Apazoglou, Maria. "Linear maps on real C*-algebras and related structures." Thesis, Queen Mary, University of London, 2010. http://qmro.qmul.ac.uk/xmlui/handle/123456789/363.

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In this thesis we obtain new results on the structures of real C*-algebras and nonsurjective isometries between them. Some of the results have been published in [1]. We prove a spectral inequality for real Banach*-algebras and give characterisations of real C*-algebras among Banach*-algebras. We study the ideal and facial structures in real C*-algebras and show that there is a bijection from the class of norm-closed left ideals I of a real C*-algebra A to the class of weak*-closed faces F of the state space S(A). The bijection is given by I 7! F = f 2 S(A) : (a a) = 0 for all a 2 Ig, with inve
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Kachkovskiy, Ilya. "Almost commuting elements of real rank zero C*-algebras." Thesis, King's College London (University of London), 2013. https://kclpure.kcl.ac.uk/portal/en/theses/almost-commuting-elements-of-real-rank-zero-calgebras(1c891b23-dba5-4395-99dc-2884cbeb3bfb).html.

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The purpose of this thesis is to study the following problem. Suppose that X,Y are bounded self-adjoint operators in a Hilbert space H with their commutator [X,Y] being small. Such operators are called almost commuting. How close is the pair X,Y to a pair of commuting operators X',Y'? In terms of one operator A = X + iY, suppose that the self-commutator [A,A*] is small. How close is A to the set of normal operators? Our main result is a quantitative analogue of Huaxin Lin's theorem on almost commuting matrices. We prove that for every (n x n)-matrix A with ||A|| ≤ 1 there exists a normal matri
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40

Zaki, Adel Mohamed. "Ideal structure and state spaces of operator algebras." Thesis, University of Aberdeen, 1987. http://digitool.abdn.ac.uk/R?func=search-advanced-go&find_code1=WSN&request1=AAIU498573.

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In Chapter 0, we give a brief discussion of positive linear functionals on C<sup>*</sup>-algebras. We discuss the relation between states and representations of C<sup>*</sup>-algebras in section 0.1. Some properties of factorial states and primal ideals of C<sup>*</sup>-algebras are considered in section 0.2. In Chapter 1, we determine the primal ideals in certain C<sup>*</sup>-algebras. We study an antiliminal C<sup>*</sup>-algebra considered by Vesterstro m [38] in section 1.1. A variant of a nonliminal postliminal C<sup>*</sup>-algebra constructed by Kadison, Lance and Ringrose ([18] and [3
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Martini, Alessio. "Algebras of differential operators on Lie groups and spectral multipliers." Doctoral thesis, Scuola Normale Superiore, 2010. http://hdl.handle.net/11384/85663.

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Let (X, μ) be a measure space, and let L1, . . . ,Ln be (possibly unbounded) selfadjoint operators on L2(X, μ), which commute strongly pairwise, i.e., which admit a joint spectral resolution E on Rn. A joint functional calculus is then defined via spectral integration: for every Borel function m : Rn → C, m(L) = m(L1, . . . ,Ln) = ∫ Rn m(λ) dE(λ) is a normal operator on L2(X, μ), which is bounded if and only if m - called the joint spectral multiplier associated to m(L) - is (E-essentially) bounded. However, the abstract theory of spectral integrals does not tackle the following probl
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Biz, Leonardo Businhani. "Grupos mediáveis e suas ações sobre C*-álgebras." reponame:Repositório Institucional da UFSC, 2017. https://repositorio.ufsc.br/xmlui/handle/123456789/178100.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2017.<br>Made available in DSpace on 2017-08-08T04:11:26Z (GMT). No. of bitstreams: 1 346996.pdf: 731817 bytes, checksum: 03bf4731cc4b5d5e405802148b7a5187 (MD5) Previous issue date: 2017<br>Dado um grupo discreto, estudamos algumas propriedades e equivalências de mediabilidade de grupos. Em particular, veremos que se o grupo for mediável temos um isomorfismo entre a C*-álgebra cheia e a C*-álgebra reduzida do grupo.
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Tasca, Felipe Augusto. "C*-álgebra de Cuntz-Krieger e produto cruzado parcial." reponame:Repositório Institucional da UFSC, 2015. https://repositorio.ufsc.br/xmlui/handle/123456789/134948.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2015.<br>Made available in DSpace on 2015-09-15T04:08:18Z (GMT). No. of bitstreams: 1 334288.pdf: 583385 bytes, checksum: fcb05b1feecc1fea220011874c0a0a91 (MD5) Previous issue date: 2015<br>Inicialmente estudamos a teoria da construção da C*-álgebra Universal, e um exemplo importante de C*-álgebra Universal, que é a C*-álgebra de Cuntz-Krieger. Também estudamos a construção do produto cruzado parcial, obtido a parti
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44

Casula, Fabio de Sales. "Uma caracterização da simplicidade de C*-álgebras de grupóides." reponame:Repositório Institucional da UFSC, 2016. https://repositorio.ufsc.br/xmlui/handle/123456789/178082.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2016.<br>Made available in DSpace on 2017-08-08T04:02:20Z (GMT). No. of bitstreams: 1 347116.pdf: 730551 bytes, checksum: 0715a12aee91006dcae7493d0667ab75 (MD5) Previous issue date: 2016<br>Dado um grupóide G localmente compacto, hausdor e étale, estudamos representações da -álgebra Cc(G) a m de construir as C-álgebras cheia e reduzida de G.Conseguimos caracterizar a simplicidade da C-álgebra cheia, a partir de cert
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45

Mattos, Alda Dayana. "C*-álgebras geradas por isometrias." Florianópolis, SC, 2007. http://repositorio.ufsc.br/xmlui/handle/123456789/90397.

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Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas. Programa de Pós-graduação em Matemática e Computação Científica<br>Made available in DSpace on 2012-10-23T09:44:39Z (GMT). No. of bitstreams: 1 241325.pdf: 738620 bytes, checksum: 159a6b746e21d7f151d91859e6cb3a5a (MD5)<br>Sejam H um espaço de Hilbert separável e S1, S2 em B(H) duas isometrias. Dizemos que S1 e S2 são compatíveis se S1 comuta com S2 e, para quaisquer m,n em N, temos que S1^{m}(S1*)^{m} comuta com S2^{n}(S2*)^{n}, isto é, as projeções finais de S1^{m} e S2^{n} comutam. Noss
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46

Olivera, Marcela Irene Merklen. "Resultados motivados por uma caracterização de operadores pseudo-diferenciais conjecturada por Rieffel." Universidade de São Paulo, 2002. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-04092003-154149/.

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Trabalhamos com funções definidas em Rn que tomam valores numa C*-álgebra A. Consideramos o conjunto SA (Rn) das funções de Schwartz, (de decrescimento rápido), com norma dada por ||f||2 = ||?f(x)*f(x)dx||½. Denotamos por CB?(R2n,A) o conjunto das funções C? com todas as suas derivadas limitadas. Provamos que os operadores pseudo-diferenciais com símbolo em CB?(R2n,A) são contínuos em SA(Rn) com a norma || ? ||2, fazendo uma generalização de [10]. Rieffel prova em [1] que CB?(Rn,A) age em SA(Rn) por meio de um produto deformado, induzido por uma matriz anti-simétrica, J, como segue: LFg(x)=F×J
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47

Ivanov, Nikolay Antonov. "On the structure of some free products of C*-algebras." Thesis, [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1548.

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48

Dell'Ambrogio, Ivo. "Prime tensor ideals in some triangulated categories of C*-algebras /." Zürich : ETH, 2008. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=17939.

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49

Cushing, David. "Homological properties of Banach and C*-algebras of continuous fields." Thesis, University of Newcastle upon Tyne, 2015. http://hdl.handle.net/10443/3024.

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One concern in the homological theory of Banach algebras is the identification of projective algebras and projective closed ideals of algebras. Besides being of independent interest, this question is closely connected to the continuous Hochschild cohomology. In this thesis we give necessary and sufficient conditions for the left projectivity and biprojectivity of Banach algebras defined by locally trivial continuous fields of Banach algebras. We identify projective C*-algebras A defined by locally trivial continuous fields U = fW, (At)t2W,Qg such that each C*-algebra At has a strictly positive
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50

Hancox, Jason. "Quantum stochastic flows on universal partial isometry matrix C*-algebras." Thesis, Lancaster University, 2018. http://eprints.lancs.ac.uk/127097/.

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We give a simple algebraic construction of quantum stochastic flows on universal C*-algebras generated by partial isometry matrix relations. This is a large class of C*-algebras that subsumes the family of graph C*-algebras and, more generally, Cuntz-Krieger algebras. The construction expands on the main results of the 2015 paper by Belton and Wills which builds quantum stochastic flows from a stochastic flow generator defined on a dense *-subalgebra, subject to a growth condition. We characterise such quantum stochastic flows on the Cuntz algebras and give examples of when the growth conditio
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