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Journal articles on the topic 'C* algebras'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Hartglass, Michael, and David Penneys. "C$^*$-algebras from planar algebras I: Canonical C$^*$-algebras associated to a planar algebra." Transactions of the American Mathematical Society 369, no. 6 (2016): 3977–4019. http://dx.doi.org/10.1090/tran/6781.

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2

Uuye, Otgonbayar. "Homotopical algebra for C*-algebras." Journal of Noncommutative Geometry 7, no. 4 (2013): 981–1006. http://dx.doi.org/10.4171/jncg/141.

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3

Rao, G. C., and P. Sundarayya. "Boolean Algebra of C-Algebras." ITB Journal of Sciences 44, no. 3 (2012): 204–16. http://dx.doi.org/10.5614/itbj.sci.2012.44.3.1.

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4

Kurdachenko, Leonid, Mykola Semko, and Igor Subbotin. "On the algebra of derivations of some low-dimensional Leibniz algebras." Algebra and Discrete Mathematics 36, no. 1 (2023): 43–60. http://dx.doi.org/10.12958/adm2161.

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Let L be an algebra over a field F with the binary operations + and [,]. Then L is called a left Leibniz algebra if it satisfies the left Leibniz identity [[a,b],c]=[a,[b,c]]−[b,[a,c]] for all a,b,c∈L. We study the algebras of derivations of nilpotent Leibniz algebras of low dimensions.

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5

Arveson, W. "C*-Algebras and Numerical Linear Algebra." Journal of Functional Analysis 122, no. 2 (1994): 333–60. http://dx.doi.org/10.1006/jfan.1994.1072.

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6

Jing, Yangping. "Semigroupoid C*-algebras and ultragraph C*-algebras." Israel Journal of Mathematics 209, no. 2 (2015): 593–610. http://dx.doi.org/10.1007/s11856-015-1230-4.

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7

BATKUNDE, HARMANUS, and Elvinus R. Persulessy. "ALJABAR-C* DAN SIFATNYA." BAREKENG: Jurnal Ilmu Matematika dan Terapan 6, no. 1 (2012): 19–22. http://dx.doi.org/10.30598/barekengvol6iss1pp19-22.

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These notes in this paper form an introductory of C*-algebras and its properties. Some results on more general Banach algebras and C*-algebras, are included. We shall prove and discuss basic properties of Banach Algebras, C*-algebras, and commutative C*-algebras. We will also give important examples for Banach Algebras, C*-algebras, and commutative C*-algebras.

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8

Rao, M. Sambasiva. "NORMAL C-ALGEBRAS." Asian-European Journal of Mathematics 06, no. 03 (2013): 1350035. http://dx.doi.org/10.1142/s1793557113500356.

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The concept of normal C-algebras is introduced. The class of all normal C-algebras is characterized in terms of minimal prime ideals. Direct products of normal C-algebras are studied. A congruence is introduced in terms of multiplicative sets and an equivalency between the normalities of C-algebras and the respective quotient algebras is observed.

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9

Sambasiva Rao, M. "QUASICOMPLEMENTED C-ALGEBRAS." Asian-European Journal of Mathematics 07, no. 01 (2014): 1350048. http://dx.doi.org/10.1142/s1793557113500484.

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The notion of quasicomplemented C-algebras is introduced. The concepts of strong α-ideals and O-ideals are introduced and then some properties of quasicomplemented C-algebras are studied with the help of strong α-ideals and O-ideals. The concept of regular C-algebras is introduced and also some equivalent conditions are derived for every regular C-algebra to become a quasicomplemented C-algebra. Some topological characterizations are considered for quasicomplemented C-algebras and regular C-algebras.

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10

Farsi, Carla. "SOFT C*-ALGEBRAS." Proceedings of the Edinburgh Mathematical Society 45, no. 1 (2002): 59–65. http://dx.doi.org/10.1017/s0013091500000547.

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AbstractIn this paper we consider soft group and crossed product $C^*$-algebras. In particular we show that soft crossed product $C^*$-algebras are isomorphic to classical crossed product $C^*$-algebras. We also prove that large classes of soft $C^*$-algebras have stable rank equal to infinity.AMS 2000 Mathematics subject classification: Primary 46L80; 46L55

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11

Spielberg, John S. "Embedding C∗-algebra extensions into AF algebras." Journal of Functional Analysis 81, no. 2 (1988): 325–44. http://dx.doi.org/10.1016/0022-1236(88)90104-8.

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12

Rordam, Mikael, Andreas Thom, Stefaan Vaes, and Dan-Virgil Voiculescu. "$C^*$-Algebras." Oberwolfach Reports 13, no. 3 (2016): 2269–345. http://dx.doi.org/10.4171/owr/2016/40.

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13

Rørdam, Mikael, Dimitri Shlyakhtenko, Andreas Thom, and Stefaan Vaes. "C*-Algebras." Oberwolfach Reports 16, no. 3 (2020): 2257–332. http://dx.doi.org/10.4171/owr/2019/37.

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14

Shlyakhtenko, Dimitri, Andreas Thom, Stefaan Vaes, and Wilhelm Winter. "$C^*$-Algebras." Oberwolfach Reports 19, no. 3 (2023): 2059–127. http://dx.doi.org/10.4171/owr/2022/36.

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15

Batkunde, Harmanus. "ALJABAR-C* KOMUTATIF." BAREKENG: Jurnal Ilmu Matematika dan Terapan 7, no. 1 (2013): 31–35. http://dx.doi.org/10.30598/barekengvol7iss1pp31-35.

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These notes in this paper will discuss about C*-algebras commutative and its properties. The theory of algebra-*, Banach-* algebra, C*-algebras and *-homomorphism are included. We also give some examples of commutative C*-algebras. We shall prove and discuss some important properties of commutative C*-algebras and *-homomorphism.

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16

Goldstein, P. "On graphC*-algebras." Journal of the Australian Mathematical Society 72, no. 2 (2002): 153–60. http://dx.doi.org/10.1017/s1446788700003803.

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AbstractCertainC*-algebras on generators and relations are associated to directed graphs. For a finite graph γ,C*-algebrais canonically isomorphic to Cuntz-Krieger algebra corresponding to the adjacency matrix of γ. It is shown that if a countably infinite graph γ is strongly connected,γis simple and purely infinite.

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17

Hartglass, Michael, and David Penneys. "C⁎-algebras from planar algebras II: The Guionnet–Jones–Shlyakhtenko C⁎-algebras." Journal of Functional Analysis 267, no. 10 (2014): 3859–93. http://dx.doi.org/10.1016/j.jfa.2014.08.024.

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18

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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19

LIU, SHUDONG, and XIAOCHUN FANG. "EXTENSION ALGEBRAS OF CUNTZ ALGEBRA, II." Bulletin of the Australian Mathematical Society 80, no. 1 (2009): 83–90. http://dx.doi.org/10.1017/s0004972709000227.

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AbstractIn this paper, we construct the unique (up to isomorphism) extension algebra, denoted by E∞, of the Cuntz algebra 𝒪∞ by the C*-algebra of compact operators on a separable infinite-dimensional Hilbert space. We prove that two unital monomorphisms from E∞ to a unital purely infinite simple C*-algebra are approximately unitarily equivalent if and only if they induce the same homomorphisms in K-theory.

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20

Zhang, Shuang. "Toeplitz algebras and infinite simple $C^*$-algebras associated with reduced group $C^*$-algebras." MATHEMATICA SCANDINAVICA 81 (December 1, 1997): 86. http://dx.doi.org/10.7146/math.scand.a-12867.

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21

Putnam, Ian F. "C*-Algebras from Smale Spaces." Canadian Journal of Mathematics 48, no. 1 (1996): 175–95. http://dx.doi.org/10.4153/cjm-1996-008-2.

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AbstractWe consider the C*-algebras constructed from certain hyperbolic dynamical systems. The construction, due to Ruelle, generalizes the C*-algebras of Cuntz and Krieger. We discuss relations between the C*-algebras, show the existence of natural asymptotically abelian systems and investigate the K-theory and E-theory of these C*-algebras.

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22

Boersema, Jeffrey L., and Efren Ruiz. "Stability of Real C*-Algebras." Canadian Mathematical Bulletin 54, no. 4 (2011): 593–606. http://dx.doi.org/10.4153/cmb-2011-019-0.

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AbstractWe will give a characterization of stable real C*-algebras analogous to the one given for complex C*-algebras by Hjelmborg and Rørdam. Using this result, we will prove that any real C*-algebra satisfying the corona factorization property is stable if and only if its complexification is stable. Real C*-algebras satisfying the corona factorization property include AF-algebras and purely infinite C*-algebras. We will also provide an example of a simple unstable C*-algebra, the complexification of which is stable.

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23

KATSURA, TAKESHI. "A CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLES." International Journal of Mathematics 17, no. 07 (2006): 791–833. http://dx.doi.org/10.1142/s0129167x06003722.

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We show that the method to construct C*-algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C*-algebras constructed from them. We also give a characterization of our C*-algebras in terms of their representation theory.

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24

Loring, Terry A. "$C^*$-Algebra relations." MATHEMATICA SCANDINAVICA 107, no. 1 (2010): 43. http://dx.doi.org/10.7146/math.scand.a-15142.

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We investigate relations on elements in $C^{*}$-algebras, including $*$-polynomial relations, order relations and all relations that correspond to universal $C^{*}$-algebras. We call these $C^{*}$-relations and define them axiomatically. Within these are the compact $C^{*}$-relations, which are those that determine universal $C^{*}$-algebras, and we introduce the more flexible concept of a closed $C^{*}$-relation. In the case of a finite set of generators, we show that closed $C^{*}$-relations correspond to the zero-sets of elements in a free $\sigma$-$C^{*}$-algebra. This provides a solid lin

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25

Alda, Václav, and Pavla Vrbová. "A remark on $C^\ast$-algebras." Czechoslovak Mathematical Journal 37, no. 4 (1987): 509–11. http://dx.doi.org/10.21136/cmj.1987.102177.

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26

Loring, Terry A. "Projective $C^*$-algebras." MATHEMATICA SCANDINAVICA 73 (December 1, 1993): 274. http://dx.doi.org/10.7146/math.scand.a-12471.

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27

Hamilton, A., and A. Lazarev. "Symplectic C∞-algebras." Moscow Mathematical Journal 8, no. 3 (2008): 443–75. http://dx.doi.org/10.17323/1609-4514-2008-8-3-443-475.

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28

Vaes, Stefaan, and Alfons Van Daele. "Hopf C*-Algebras." Proceedings of the London Mathematical Society 82, no. 2 (2001): 337–84. http://dx.doi.org/10.1112/s002461150101276x.

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29

Kaonga, Llolsten. "Projectionless C*-algebras." Proceedings of the American Mathematical Society 130, no. 1 (2001): 33–38. http://dx.doi.org/10.1090/s0002-9939-01-06059-2.

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30

Dadarlat, Marius, and Ulrich Pennig. "Connective C⁎-algebras." Journal of Functional Analysis 272, no. 12 (2017): 4919–43. http://dx.doi.org/10.1016/j.jfa.2017.02.009.

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31

Exel, R. "Semigroupoid C⁎-algebras." Journal of Mathematical Analysis and Applications 377, no. 1 (2011): 303–18. http://dx.doi.org/10.1016/j.jmaa.2010.10.061.

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32

Li, Xin. "Ring C*-algebras." Mathematische Annalen 348, no. 4 (2010): 859–98. http://dx.doi.org/10.1007/s00208-010-0502-x.

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33

Mageira, Athina. "Graded C∗-algebras." Journal of Functional Analysis 254, no. 6 (2008): 1683–701. http://dx.doi.org/10.1016/j.jfa.2007.09.009.

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34

Robert, Leonel. "Selfless C*-algebras." Advances in Mathematics 478 (October 2025): 110409. https://doi.org/10.1016/j.aim.2025.110409.

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35

Suzuki, Yuhei. "Group C*-algebras as decreasing intersection of nuclear C*-algebras." American Journal of Mathematics 139, no. 3 (2017): 681–705. http://dx.doi.org/10.1353/ajm.2017.0018.

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36

Park, Choonkil, Deok-Hoon Boo, and Jong Su An. "Homomorphisms between C∗-algebras and linear derivations on C∗-algebras." Journal of Mathematical Analysis and Applications 337, no. 2 (2008): 1415–24. http://dx.doi.org/10.1016/j.jmaa.2007.04.072.

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37

Shchukin, M. V. "n-Homogeneous C*-algebras." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 57, no. 2 (2021): 185–89. http://dx.doi.org/10.29235/1561-2430-2021-57-2-185-189.

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The classical results by J. Fell, J. Tomiyama, M. Takesaki describe n-homogeneous С*-algebras as algebras of all continuous sections for an appropriate algebraic bundle. By using this realization, several authors described the set of n-homogeneous С*-algebras with different spaces of primitive ideals. In 1974 F. Krauss and T. Lawson described the set of all n-homogeneous С*-algebras whose space Prim of primitive ideals is homeomorphic to the sphere S2. Suppose the space PrimA of primitive ideals is homeomorphic to the sphere S3 for some n-homogeneous С*-algebra A. In this case, these authors s

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38

Zhang, Shuang. "Toeplitz algebras and {$C\sp *$}-algebras arising from reduced (free) group {$C\sp *$}-algebras." Illinois Journal of Mathematics 48, no. 1 (2004): 199–218. http://dx.doi.org/10.1215/ijm/1258136181.

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39

Archbold, Robert J., Eberhard Kaniuth, and Douglas W. B. Somerset. "Norms of inner derivations for multiplier algebras of C⁎-algebras and group C⁎-algebras." Journal of Functional Analysis 262, no. 5 (2012): 2050–73. http://dx.doi.org/10.1016/j.jfa.2011.12.015.

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40

Karn, Anil Kumar. "Orthogonality in $$C^{*}$$ C ∗ -algebras." Positivity 20, no. 3 (2015): 607–20. http://dx.doi.org/10.1007/s11117-015-0375-z.

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41

Kaniowski, Krzysztof, Katarzyna Lubnauer, and Andrzej Łuczak. "Cloning in C*-Algebras." Proceedings of the Edinburgh Mathematical Society 60, no. 3 (2016): 689–705. http://dx.doi.org/10.1017/s0013091516000328.

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AbstractCloneable sets of states in C*-algebras are characterized in terms of strong orthogonality of states. Moreover, the relation between strong cloning and distinguishability of states is investigated together with some additional properties of strong cloning in abelian C*-algebras.

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42

Hines, Taylor, and Erik Walsberg. "Nontrivially Noetherian $C^*$-algebras." MATHEMATICA SCANDINAVICA 111, no. 1 (2012): 135. http://dx.doi.org/10.7146/math.scand.a-15219.

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We say that a $C^*$-algebra is Noetherian if it satisfies the ascending chain condition for two-sided closed ideals. A nontrivially Noetherian $C^*$-algebra is one with infinitely many ideals. Here, we show that nontrivially Noetherian $C^*$-algebras exist, and that a separable $C^*$-algebra is Noetherian if and only if it contains countably many ideals and has no infinite strictly ascending chain of primitive ideals. Furthermore, we prove that every Noetherian $C^*$-algebra has a finite-dimensional center. Where possible, we extend results about the ideal structure of $C^*$-algebras to Artini

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43

Orloff Clark, Lisa, and James Fletcher. "Groupoid algebras as covariance algebras." Journal of Operator Theory 85, no. 2 (2021): 347–82. http://dx.doi.org/10.7900/jot.2019aug22.2266.

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Suppose G is a second-countable locally compact Hausdorff \'{e}tale groupoid, G is a discrete group containing a unital subsemigroup P, and c:G→G is a continuous cocycle. We derive conditions on the cocycle such that the reduced groupoid C∗-algebra C∗r(G) may be realised as the covariance algebra of a product system over P with coefficient algebra C∗r(c−1(e)). When (G,P) is a quasi-lattice ordered group, we also derive conditions that allow C∗r(G) to be realised as the Cuntz--Nica--Pimsner algebra of a compactly aligned product system.

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44

Albiac, F., and E. Briem. "REAL BANACH ALGEBRAS AS C (K) ALGEBRAS." Quarterly Journal of Mathematics 63, no. 3 (2011): 513–24. http://dx.doi.org/10.1093/qmath/har005.

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45

Vershik, A. M., S. A. Evdokimov, and I. N. Ponomarenko. "C-algebras and algebras in plancherel duality." Journal of Mathematical Sciences 96, no. 5 (1999): 3478–85. http://dx.doi.org/10.1007/bf02175825.

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46

Kutsenko, Anton A. "Classification of Integrodifferential C∗-Algebras." Symmetry 13, no. 10 (2021): 1900. http://dx.doi.org/10.3390/sym13101900.

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The infinite product of matrices with integer entries, known as a modified Glimm–Bratteli symbol n, is a new, sufficiently simple, and very powerful tool for the characterization of approximately finite-dimensional (AF) algebras. This symbol provides a convenient algebraic representation of the Bratteli diagram for AF algebras in the same way as was previously performed by J. Glimm for more simple uniformly hyperfinite (UHF) algebras. We apply this symbol to characterize integrodifferential algebras. The integrodifferential algebra FN,M is the C∗-algebra generated by the following operators ac

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47

Nagisa, Masaru, Hiroyuki Osaka, and N. Christopher Phillips. "Ranks of Algebras of Continuous C*-Algebra Valued Functions." Canadian Journal of Mathematics 53, no. 5 (2001): 979–1030. http://dx.doi.org/10.4153/cjm-2001-039-8.

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AbstractWe prove a number of results about the stable and particularly the real ranks of tensor products of C*-algebras under the assumption that one of the factors is commutative. In particular, we prove the following:(1)If X is any locally compact σ-compact Hausdorff space and A is any C*-algebra, then RR(C0(X) ⊗ A) ≤ dim(X) + RR(A).(2)If X is any locally compact Hausdorff space and A is any purely infinite simple C*-algebra, then RR(C0(X) ⊗ A) ≤ 1.(3)RR(C([0, 1]) ⊗ A) ≥ 1 for any nonzero C*-algebra A, and sr(C([0, 1]2) ⊗ A) ≥ 2 for any unital C*-algebra A.(4)If A is a unital C*-algebra such

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48

EAGLE, CHRISTOPHER J., ILIJAS FARAH, BRADD HART, BORIS KADETS, VLADYSLAV KALASHNYK, and MARTINO LUPINI. "FRAÏSSÉ LIMITS OF C*-ALGEBRAS." Journal of Symbolic Logic 81, no. 2 (2016): 755–73. http://dx.doi.org/10.1017/jsl.2016.14.

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AbstractWe realize the Jiang-Su algebra, all UHF algebras, and the hyperfinite II1 factor as Fraïssé limits of suitable classes of structures. Moreover by means of Fraïssé theory we provide new examples of AF algebras with strong homogeneity properties. As a consequence of our analysis we deduce Ramsey-theoretic results about the class of full-matrix algebras.

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49

Arzikulov, Farkhad Nematjonovich, and Shavkat Abdullayevich Ayupov. "AW*-algebras Which are Enveloping C*-algebras of JC-algebras." Algebras and Representation Theory 16, no. 1 (2011): 289–301. http://dx.doi.org/10.1007/s10468-011-9308-0.

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50

Rennie, Adam, David Robertson, and Aidan Sims. "Groupoid algebras as Cuntz-Pimsner algebras." MATHEMATICA SCANDINAVICA 120, no. 1 (2017): 115. http://dx.doi.org/10.7146/math.scand.a-25507.

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We show that if $G$ is a second countable locally compact Hausdorff étale groupoid carrying a suitable cocycle $c\colon G\to\mathbb{Z}$, then the reduced $C^*$-algebra of $G$ can be realised naturally as the Cuntz-Pimsner algebra of a correspondence over the reduced $C^*$-algebra of the kernel $G_0$ of $c$. If the full and reduced $C^*$-algebras of $G_0$ coincide, we deduce that the full and reduced $C^*$-algebras of $G$ coincide. We obtain a six-term exact sequence describing the $K$-theory of $C^*_r(G)$ in terms of that of $C^*_r(G_0)$.

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