scholarly journals Characterization of extremal KMS states on groupoid C*-algebras

2020 ◽  
Author(s):  
Rafael Pereira Lima
Keyword(s):  
Kms States ◽  
C Algebras

scholarly journals Spatial realisations of KMS states on the C⁎-algebras of higher-rank graphs

2015 ◽  
Vol 427 (2) ◽  
pp. 977-1003 ◽  
Author(s):  
Astrid an Huef ◽  
Sooran Kang ◽  
Iain Raeburn
Keyword(s):  
Kms States ◽  
C Algebras ◽  
Higher Rank

scholarly journals A characterization of semiprojectivity for commutative C *-algebras

2012 ◽  
Vol 105 (5) ◽  
pp. 1021-1046 ◽  
Author(s):  
Adam P. W. Sørensen ◽  
Hannes Thiel
Keyword(s):  
C Algebras

KMS states for gauge actions on $C^*$ -algebras associated with subshifts

1998 ◽  
Vol 228 (3) ◽  
pp. 489-509 ◽  
Author(s):  
Kengo Matsumoto ◽  
Yasuo Watatani ◽  
Masamichi Yoshida
Keyword(s):  
Kms States ◽  
C Algebras

Free group C*-algebras associated with ℓp

2014 ◽  
Vol 25 (07) ◽  
pp. 1450065 ◽  
Author(s):  
Rui Okayasu
Keyword(s):  
Free Group ◽  
Positive Definite ◽  
Positive Definite Functions ◽  
Linear Functionals ◽  
C Algebra ◽  
Tracial State ◽  
C Algebras ◽  
Positive Linear Functionals ◽  
The Ideal

For every p ≥ 2, we give a characterization of positive definite functions on a free group with finitely many generators, which can be extended to positive linear functionals on the free group C*-algebra associated with the ideal ℓp. This is a generalization of Haagerup's characterization for the case of the reduced free group C*-algebra. As a consequence, the canonical quotient map between the associated C*-algebras is not injective, and they have a unique tracial state.

scholarly journals Compact actions on C*-algebras

1980 ◽  
Vol 21 (2) ◽  
pp. 143-149
Author(s):  
Charles A. Akemann ◽  
Steve Wright
Keyword(s):  
Banach Algebra ◽  
Compact Operator ◽  
Weakly Compact ◽  
C Algebra ◽  
C Algebras ◽  
Compact Perturbations

In Section 33 of [2], Bonsall and Duncan define an elementtof a Banach algebratoact compactlyonif the mapa→tatis a compact operator on. In this paper, the arguments and technique of [1] are used to study this question for C*-algebras (see also [10]). We determine the elementsbof a C*-algebrafor which the mapsa→ba,a→ab,a→ab+ba,a→babare compact (respectively weakly compact), determine the C*-algebras which are compact in the sense of Definition 9, of [2, p. 177] and give a characterization of the C*-automorphisms ofwhich are weakly compact perturbations of the identity.

scholarly journals KMS STATES ON FINITE-GRAPH C∗-ALGEBRAS

2013 ◽  
Vol 67 (1) ◽  
pp. 83-104 ◽  
Author(s):  
Tsuyoshi KAJIWARA ◽  
Yasuo WATATANI
Keyword(s):  
Finite Graph ◽  
Kms States ◽  
C Algebras
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