KMS STATES ON FINITE-GRAPH C∗-ALGEBRAS

DOI10.2206/kyushujm.67.83zbMath1286.46064arXiv1007.4248OpenAlexW2964322011MaRDI QIDQ2846876

Yasuo Watatani, Tsuyoshi Kajiwara

Publication date: 3 September 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4248

zbMATH Keywords

KMS states\(C^{\ast}\)-correspondencesgraph \(C^{\ast}\)-algebras

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30)

Related Items (21)

Partial actions and KMS states on relative graph \(C^\ast\)-algebras ⋮ Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs ⋮ The Toeplitz noncommutative solenoid and its Kubo–Martin–Schwinger states ⋮ KMS states on C*-algebras associated to local homeomorphisms ⋮ KMS states on the operator algebras of reducible higher-rank graphs ⋮ Traces on cores of -algebras associated with self-similar maps ⋮ The flow of weights and the Cuntz-Pimsner algebras ⋮ \(C^*\)-algebras associated with complex dynamical systems and backward orbit structure ⋮ Constructing KMS states from infinite-dimensional spectral triples ⋮ KMS states on \(C^\ast\)-algebras associated to higher-rank graphs ⋮ KMS and ground states on ultragraph \( C^*\)-algebras ⋮ KMS states on \(C^{\ast}\)-algebras associated to a family of \(\ast\)-commuting local homeomorphisms ⋮ KMS weights on groupoid and graph \(C^\ast\)-algebras ⋮ KMS states on the \(C^\ast\)-algebras of finite graphs ⋮ KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space ⋮ KMS states on the -algebras of reducible graphs ⋮ Reconstructing directed graphs from generalized gauge actions on their Toeplitz algebras ⋮ Entropy theory for the parametrization of the equilibrium states of Pimsner algebras ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs ⋮ Equilibrium States on Graph Algebras

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