Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs

DOI10.1016/j.jmaa.2015.02.045zbMath1312.81116arXiv1410.0085OpenAlexW2963921547MaRDI QIDQ2343227

Sooran Kang, Astrid an Huef, Iain Raeburn

Publication date: 4 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0085

zbMATH Keywords

KMS statehigher-rank graphToeplitz algebragauge action

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Applications of selfadjoint operator algebras to physics (46L60) Critical phenomena in equilibrium statistical mechanics (82B27) Stochastic quantization (81S20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Thermal quantum field theory (81T28)

Related Items

KMS states on the operator algebras of reducible higher-rank graphs ⋮ Separable representations, KMS states, and wavelets for higher-rank graphs ⋮ Spectral triples for higher-rank graph $C^*$-algebras ⋮ KMS weights on higher rank buildings ⋮ Cohn path algebras of higher-rank graphs ⋮ Purely atomic representations of higher-rank graph \(C^*\)-algebras ⋮ KMS states on \(C^{\ast}\)-algebras associated to a family of \(\ast\)-commuting local homeomorphisms ⋮ Spectral triples and wavelets for higher-rank graphs ⋮ Efficient presentations of relative Cuntz-Krieger algebras ⋮ Symmetries of the KMS simplex ⋮ Dense subalgebras of purely infinite simple groupoidC*-algebras ⋮ KMS states on the Toeplitz algebras of higher-rank graphs ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs

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