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Relevant bibliographies by topics / UHF algebras

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Academic literature on the topic 'UHF algebras'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "UHF algebras"

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OHNO, HIROMICHI. "EXTENDABILITY OF GENERALIZED QUANTUM MARKOV CHAINS ON GAUGE INVARIANT C*-ALGEBRAS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 08, no. 01 (2005): 141–52. http://dx.doi.org/10.1142/s0219025705001901.

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Baker, Richard L. "Triangular UHF algebras." Journal of Functional Analysis 91, no. 1 (1990): 182–212. http://dx.doi.org/10.1016/0022-1236(90)90052-m.

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Wassermann, Simon. "Subquotients of UHF C*-algebras." Mathematical Proceedings of the Cambridge Philosophical Society 115, no. 3 (1994): 489–500. http://dx.doi.org/10.1017/s030500410007225x.

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Over the last thirty years, the study of C*-algebras has proceeded in a number of directions. On one hand, much effort has been devoted to understanding the structure of particular classes of algebras, such as the approximately finite (AF) algebras. On the other, general structure theorems have been sought. Classes of algebras defined by certain abstract properties have been investigated with a view to obtaining more concrete descriptions of the algebras. One of the earliest results of this type was the theorem of Glimm [13], later extended by Sakai [20] to the inseparable case, characterizing

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OHNO, H. "FACTORS GENERATED BY C*-FINITELY CORRELATED STATES." International Journal of Mathematics 18, no. 01 (2007): 27–41. http://dx.doi.org/10.1142/s0129167x07003947.

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We present several equivalent conditions for C*-finitely correlated states defined on the UHF algebras to be factor states and consider the types of factors generated by them. Subfactors generated by generalized quantum Markov chains defined on the gauge-invariant parts of the UHF algebras are also discussed.

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Conrad, Joseph F. "Transpositions of UHF algebras." MATHEMATICA SCANDINAVICA 67 (June 1, 1990): 259. http://dx.doi.org/10.7146/math.scand.a-12337.

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Hudson, T. D., and E. G. Katsoulis. "Primitive Triangular UHF Algebras." Journal of Functional Analysis 160, no. 1 (1998): 1–27. http://dx.doi.org/10.1006/jfan.1998.3336.

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Archbold, R. J., and Alexander Kumjian. "Nuclear subalgebras of UHF C*-algebras." Proceedings of the Edinburgh Mathematical Society 29, no. 1 (1986): 97–100. http://dx.doi.org/10.1017/s0013091500017454.

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A C*-algebra A is said to be approximately finite dimensional (AF) if it is the inductive limit of a sequence of finite dimensional C*-algebras(see [2], [5]). It is said to be nuclear if, for each C*-algebra B, there is a unique C*-norm on the *-algebraic tensor product A ⊗B [11]. Since finite dimensional C*-algebras are nuclear, and inductive limits of nuclear C*-algebras are nuclear [16];,every AF C*-algebra is nuclear. The family of nuclear C*-algebras is a large and well-behaved class (see [12]). The AF C*-algebras for a particularly tractable sub-class which has been completely classified

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Farah, Ilijas, and Takeshi Katsura. "Nonseparable Uhf Algebras Ii: Classification." MATHEMATICA SCANDINAVICA 117, no. 1 (2015): 105. http://dx.doi.org/10.7146/math.scand.a-22238.

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For every uncountable cardinal $\kappa$ there are $2^\kappa$ nonisomorphic simple AF algebras of density character $\kappa$ and $2^\kappa$ nonisomorphic hyperfinite ${\rm II}_1$ factors of density character $\kappa$. These estimates are maximal possible. All C*-algebras that we construct have the same Elliott invariant and Cuntz semigroup as the CAR algebra.

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KISHIMOTO, A. "UHF FLOWS AND COCYCLES." International Journal of Mathematics 23, no. 01 (2012): 1250018. http://dx.doi.org/10.1142/s0129167x11007598.

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UHF flows are the flows obtained as inductive limits of flows on full matrix algebras. We will revisit universal UHF flows and give an explicit construction of such flows on a UHF algebra Mk∞ for any k and also present a characterization of such flows. Those flows are UHF flows whose cocycle perturbations are almost conjugate to themselves.

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Strung, Karen R., and Wilhelm Winter. "UHF-slicing and classification of nuclear C*-algebras." Journal of Topology and Analysis 06, no. 04 (2014): 465–540. http://dx.doi.org/10.1142/s1793525314500198.

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In this paper we show that certain simple locally recursive subhomogeneous (RSH) C*-algebras are tracially approximately interval algebras after tensoring with the universal UHF algebra. This involves a linear algebraic encoding of the structure of the local RSH algebra allowing us to find a path through the algebra which looks like a discrete version of [0, 1] and exhausts most of the algebra. We produce an actual copy of the interval and use properties of C*-algebras tensored with UHF algebras to move the honest interval underneath the discrete version. It follows from our main result that s

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Dissertations / Theses on the topic "UHF algebras"

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Strung, Karen R. [Verfasser], and Wilhelm [Akademischer Betreuer] Winter. "On classification, UHF-stability, and tracial approximation of simple nuclear C * -algebras / Karen R. Strung ; Betreuer: Wilhelm Winter." Münster : Universitäts- und Landesbibliothek Münster, 2014. http://d-nb.info/1138282766/34.

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Daqqa, Ibtisam. "Subconstituent algebras of Latin squares." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002395.

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Webster, Benjamin. "On Representations of the Jacobi Group and Differential Equations." UNF Digital Commons, 2018. https://digitalcommons.unf.edu/etd/858.

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In PDEs with nontrivial Lie symmetry algebras, the Lie symmetry naturally yield Fourier and Laplace transforms of fundamental solutions. Applying this fact we discuss the semidirect product of the metaplectic group and the Heisenberg group, then induce a representation our group and use it to investigate the invariant solutions of a general differential equation of the form .

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Chilstrom, Peter. "Singular Value Inequalities: New Approaches to Conjectures." UNF Digital Commons, 2013. http://digitalcommons.unf.edu/etd/443.

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Singular values have been found to be useful in the theory of unitarily invariant norms, as well as many modern computational algorithms. In examining singular value inequalities, it can be seen how these can be related to eigenvalues and how several algebraic inequalities can be preserved and written in an analogous singular value form. We examine the fundamental building blocks to the modern theory of singular value inequalities, such as positive matrices, matrix norms, block matrices, and singular value decomposition, then use these to examine new techniques being used to prove singular val

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Ray, Sharon N. E. "Evaluating the efficacy of the devleoping algebraic literacy model : preparing special educators to implement effective mathematics practices." [Tampa, Fla] : University of South Florida, 2008. http://purl.fcla.edu/usf/dc/et/SFE0002797.

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Appiou, Nikiforou Marina. "Extensions of Quandles and Cocycle Knot Invariants." [Tampa, Fla.] : University of South Florida, 2002. http://purl.fcla.edu/fcla/etd/SFE0000125.

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Books on the topic "UHF algebras"

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Young, Cynthia Y. Algebra and Trigonometry with Limits: UCF Custom. John Wiley & Sons, 2007.

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Book chapters on the topic "UHF algebras"

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Ganikhodzhaev, N. N., and F. M. Mukhamedov. "On Markov Random Fields on UHF Algebras." In Algebra and Operator Theory. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5072-9_17.

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Evans, David E., and Yasuyuki Kawahigashi. "The Fermion Algebra." In Quantum Symmetries on Operator Algebras. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198511755.003.0006.

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Abstract This chapter introduces the Fermion algebra as the main technical tool for studying in Chapter 7 the two dimensional Ising model as the prototype lattice model in statistical mechanics. It will also feature in Chapter 8 as a means of constructing representations of chiral algebras, particularly the Virasoro algebra, in conformal field theories which can appear in critical statistical mechanical models. Ignoring most of the structure, the Fermion algebra is just an infinite tensor product of 2 x 2 matrix algebras. Such infinite tensor products of matrix algebras, UHF algebras, are stud

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"Chapter 18 Reflexive uF-Algebras." In Uniform Fréchet Algebras. Elsevier, 1990. http://dx.doi.org/10.1016/s0304-0208(08)70077-x.

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"Chapter 17 Local Analytic Structure in the Spectrum of a uF-Algebra." In Uniform Fréchet Algebras. Elsevier, 1990. http://dx.doi.org/10.1016/s0304-0208(08)70076-8.

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Grenander, Ulf, and Michael I. Miller. "Introduction." In Pattern Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198505709.003.0002.

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This book is to be an accessible book on patterns, their representation, and inference. There are a small number of ideas and techniques that, when mastered, make the subject more accessible. This book has arisen from ten years of a research program which the authors have embarked upon, building on the more abstract developments of metric pattern theory developed by one of the authors during the 1970s and 1980s. The material has been taught over multiple semesters as part of a second year graduate-level course in pattern theory, essentially an introduction for students interested in the repres

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Conference papers on the topic "UHF algebras"

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Wang, Junyi, and Qijun Zhao. "Effects of Structural Properties on Rotor Airloads Prediction Based on CFD/CSD Coupling Method." In Vertical Flight Society 70th Annual Forum & Technology Display. The Vertical Flight Society, 2014. http://dx.doi.org/10.4050/f-0070-2014-9549.

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For accurate aeroelastic analysis, the unsteady rotor flowfield is solved by Computational Fluid Dynamics (CFD) module based on RANS/Euler equations and moving-embedded grid system, while Computational Structural Dynamics (CSD) module is introduced to handle blade flexibility. In CFD module, dual time-stepping algorithm is employed in temporal discretization, JST scheme is adopted in spatial discretization and B-L turbulent model is used to introduce the viscous effect. The CSD module is developed based on Hamilton's variational principles, moderate deflection beam theory and advanced geometri

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Dey, Satadru, Beshah Ayalew, and Pierluigi Pisu. "Estimation of Lithium-Ion Concentrations in Both Electrodes of a Lithium-Ion Battery Cell." In ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9693.

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For control and estimation tasks in battery management systems, the benchmark Li-ion cell electrochemical pseudo-two-dimensional (P2D) model is often reduced to the Single Particle Model (SPM). The original SPM consists of two electrodes approximated as spherical particles with spatially distributed Li-ion concentration. However, the Li-ion concentration states in these two-electrode models are known to be weakly observable from the voltage output. This has led to the prevalent use of reduced models in literature that generally approximate Li-ion concentration states in one electrode as an alg

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Kayaci, Nurullah, Hakan Demir, Ş. Özgür Atayılmaz, and Özden Ağra. "Long Term Simulation of Horizontal Ground Heat Exchanger for Ground Source Heat Pump." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51552.

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The earth is an energy resource which has more suitable and stable temperatures than air. Ground Source Heat Pumps (GSHPs) were developed to use ground energy for residential heating. The most important part of a GSHP is the Ground Heat Exchanger (GHE) that consists of pipes buried in the soil and is used for transferring heat between the soil and the heat exchanger of the GSHP. Soil composition, density, moisture and burial depth of pipes affect the size of a GHE. There are plenty of works on ground source heat pumps and ground heat exchangers in the literature. Most of the works on ground he

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