scholarly journals KMS states on the $C^*$-algebras of non-principal groupoids

2013 ◽  
Vol 70 (2) ◽  
pp. 513-530 ◽  
Author(s):  
Sergey Neshveyev
Keyword(s):  
2015 ◽  
Vol 427 (2) ◽  
pp. 977-1003 ◽  
Author(s):  
Astrid an Huef ◽  
Sooran Kang ◽  
Iain Raeburn
Keyword(s):  

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

2013 ◽  
Vol 67 (1) ◽  
pp. 83-104 ◽  
Author(s):  
Tsuyoshi KAJIWARA ◽  
Yasuo WATATANI
Keyword(s):  

2006 ◽  
Vol 134 (7) ◽  
pp. 2067-2078 ◽  
Author(s):  
Alex Kumjian ◽  
Jean Renault
Keyword(s):  

2019 ◽  
Vol 276 (12) ◽  
pp. 3795-3831 ◽  
Author(s):  
Hui Li ◽  
Dilian Yang
Keyword(s):  

Author(s):  
Soumalya Joardar ◽  
Arnab Mandal

Abstract We study the invariance of KMS states on graph $C^{\ast }$ -algebras coming from strongly connected and circulant graphs under the classical and quantum symmetry of the graphs. We show that the unique KMS state for strongly connected graphs is invariant under the quantum automorphism group of the graph. For circulant graphs, it is shown that the action of classical and quantum automorphism groups preserves only one of the KMS states occurring at the critical inverse temperature. We also give an example of a graph $C^{\ast }$ -algebra having more than one KMS state such that all of them are invariant under the action of classical automorphism group of the graph, but there is a unique KMS state which is invariant under the action of quantum automorphism group of the graph.


2016 ◽  
Vol 271 (8) ◽  
pp. 2090-2132 ◽  
Author(s):  
Toke M. Carlsen ◽  
Nadia S. Larsen
Keyword(s):  

2021 ◽  
Vol 70 (2) ◽  
pp. 669-709
Author(s):  
Carla Farsi ◽  
Elizabeth Gillaspy ◽  
Nadia Larsen ◽  
Judith A. Packer
Keyword(s):  

2018 ◽  
Vol 464 (2) ◽  
pp. 965-1009 ◽  
Author(s):  
Zahra Afsar ◽  
Astrid an Huef ◽  
Iain Raeburn
Keyword(s):  

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