Equilibrium states on the Toeplitz algebras of small higher-rank graphs

zbMath1460.46060arXiv1905.01001MaRDI QIDQ782951

Astrid an Huef, Iain Raeburn

Publication date: 29 July 2020

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01001

zbMATH Keywords

higher-rank graphToeplitz algebraequilibrium state

Mathematics Subject Classification ID

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

Related Items (3)

Unnamed Item ⋮ Operator algebras for higher rank analysis and their application to factorial languages ⋮ Applications of entropy of product systems: higher-rank graphs

Uses Software

• KMS states

Cites Work

• Partial actions and KMS states on relative graph \(C^\ast\)-algebras
• KMS states on \(C^\ast\)-algebras associated to higher-rank graphs
• Von Neumann algebras of strongly connected higher-rank graphs
• KMS weights on graph \(C^\ast\)-algebras
• Rank-two graphs whose \(C^*\)-algebras are direct limits of circle algebras
• Separable representations, KMS states, and wavelets for higher-rank graphs
• Symmetries of the KMS simplex
• The \(C^*\)-algebras of finitely aligned higher-rank graphs
• KMS states of quasi-free dynamics on Pimsner algebras
• Higher rank graph \(C^*\)-algebras
• KMS states on Nica-Toeplitz \(\text{C}^*\)-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 Toeplitz algebras of higher-rank graphs
• Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs
• KMS states on the operator algebras of reducible higher-rank graphs
• KMS states for quasi-free actions on finite-graph algebras
• KMS STATES ON FINITE-GRAPH C∗-ALGEBRAS
• KMS states on C*-algebras associated to local homeomorphisms
• The range of K-Invariants for C*-Algebras of infinite graphs
• A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph
• KMS states on the $C^*$-algebras of non-principal groupoids
• KMS states on the -algebras of reducible graphs

This page was built for publication: Equilibrium states on the Toeplitz algebras of small higher-rank graphs