KMS states on the \(C^\ast\)-algebra of a higher-rank graph and periodicity in the path space

DOI10.1016/j.jfa.2014.12.006zbMath1329.46057arXiv1404.6819OpenAlexW2010658508MaRDI QIDQ2261948

Marcelo Laca, Aidan Sims, Iain Raeburn, Astrid an Huef

Publication date: 13 March 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6819

zbMATH Keywords

KMS states\(C^\ast\)-algebrahigher-rank graph

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30)

Related Items (33)

Cocycles on groupoids arising from -actions ⋮ BRANCHING SYSTEMS FOR HIGHER-RANK GRAPH C*-ALGEBRAS ⋮ Preferred traces on \(C^{\ast}\)-algebras of self-similar groupoids arising as fixed points ⋮ The Toeplitz noncommutative solenoid and its Kubo–Martin–Schwinger states ⋮ KMS states on the operator algebras of reducible higher-rank graphs ⋮ PERIODIC -GRAPH ALGEBRAS REVISITED ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Wavelets and spectral triples for fractal representations of Cuntz algebras ⋮ Higman–Thompson‐like groups of higher rank graph C*‐algebras ⋮ KMS states on generalised Bunce-Deddens algebras and their Toeplitz extensions ⋮ Irreducibility and monicity for representations of \(k\)-graph \(C^*\)-algebras ⋮ 𝐶*-algebras of right LCM monoids and their equilibrium states ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ KMS states of self-similar \(k\)-graph \(C^*\)-algebras ⋮ Von Neumann algebras of strongly connected higher-rank graphs ⋮ KMS weights on higher rank buildings ⋮ Cohn path algebras of higher-rank graphs ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Cohomology for small categories: \(k\)-graphs and groupoids ⋮ Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems ⋮ Equilibrium states and entropy theory for Nica-Pimsner algebras ⋮ KMS states on theC*-algebras of Fell bundles over groupoids ⋮ Symmetries of the KMS simplex ⋮ KMS states on the Toeplitz algebras of higher-rank graphs ⋮ Applications of entropy of product systems: higher-rank graphs ⋮ DIRICHLET FORMS AND ULTRAMETRIC CANTOR SETS ASSOCIATED TO HIGHER-RANK GRAPHS ⋮ Structure of free semigroupoid algebras ⋮ Generalized gauge actions on $\kappa$-graph $C*-Algebras: KMS states and Hausdorff structure ⋮ Isomorphism of the cubical and categorical cohomology groups of a higher-rank graph ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs ⋮ The ideal structures of self-similar -graph C*-algebras ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs

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