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 Uniqueness theorems for topological higher-rank graph $C^*$-algebras

2017 ◽  
Vol 146 (2) ◽  
pp. 669-684 ◽  
Author(s):  
Jean Renault ◽  
Aidan Sims ◽  
Dana P. Williams ◽  
Trent Yeend
Keyword(s):  
Uniqueness Theorems ◽  
C Algebras ◽  
Higher Rank

scholarly journals Simplicity of C*-algebras associated to higher-rank graphs

2007 ◽  
Vol 39 (2) ◽  
pp. 337-344 ◽  
Author(s):  
David I. Robertson ◽  
Aidan Sims
Keyword(s):  
C Algebras ◽  
Higher Rank

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

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

scholarly journals Cocycles on groupoids arising from -actions

2021 ◽  
pp. 1-32
Author(s):  
CARLA FARSI ◽  
LEONARD HUANG ◽  
ALEX KUMJIAN ◽  
JUDITH PACKER
Keyword(s):  
Continuous Functions ◽  
Locally Compact Abelian Group ◽  
Compact Metric Space ◽  
Kms States ◽  
Existence And Uniqueness Results ◽  
Commuting Operators ◽  
Uniqueness Results ◽  
Unit Space ◽  
Higher Rank

Abstract We consider groupoids constructed from a finite number of commuting local homeomorphisms acting on a compact metric space and study generalized Ruelle operators and $ C^{\ast } $ -algebras associated to these groupoids. We provide a new characterization of $ 1 $ -cocycles on these groupoids taking values in a locally compact abelian group, given in terms of $ k $ -tuples of continuous functions on the unit space satisfying certain canonical identities. Using this, we develop an extended Ruelle–Perron–Frobenius theory for dynamical systems of several commuting operators ( $ k $ -Ruelle triples and commuting Ruelle operators). Results on KMS states on $ C^{\ast } $ -algebras constructed from these groupoids are derived. When the groupoids being studied come from higher-rank graphs, our results recover existence and uniqueness results for KMS states associated to the graphs.

scholarly journals KMS states on C*-algebras associated to expansive maps

2006 ◽  
Vol 134 (7) ◽  
pp. 2067-2078 ◽  
Author(s):  
Alex Kumjian ◽  
Jean Renault
Keyword(s):  
Kms States ◽  
C Algebras ◽  
Expansive Maps

scholarly journals The C∗-algebras of finitely aligned higher-rank graphs

2004 ◽  
Vol 213 (1) ◽  
pp. 206-240 ◽  
Author(s):  
Iain Raeburn ◽  
Aidan Sims ◽  
Trent Yeend
Keyword(s):  
C Algebras ◽  
Higher Rank

Representations of higher-rank graph C⁎-algebras associated to Λ-semibranching function systems

2018 ◽  
Vol 468 (2) ◽  
pp. 766-798 ◽  
Author(s):  
Carla Farsi ◽  
Elizabeth Gillaspy ◽  
Palle Jorgensen ◽  
Sooran Kang ◽  
Judith Packer
Keyword(s):  
C Algebras ◽  
Higher Rank
Sign in / Sign up

Export Citation Format

Share Document