A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph

zbMath1463.46086arXiv1801.03189MaRDI QIDQ5211960

Astrid an Huef, Iain Raeburn, James Fletcher

Publication date: 23 January 2020

Full work available at URL: https://arxiv.org/abs/1801.03189

zbMATH Keywords

\(C^*\)-algebrasKMS statesToeplitz algebrahigher-rank graphs

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) States of selfadjoint operator algebras (46L30) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

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Equilibrium states and entropy theory for Nica-Pimsner algebras ⋮ Equilibrium states on higher-rank Toeplitz non-commutative solenoids ⋮ KMS states on the Toeplitz algebras of higher-rank graphs ⋮ Applications of entropy of product systems: higher-rank graphs ⋮ KMS states ⋮ Equilibrium states on the Toeplitz algebras of small higher-rank graphs