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

2019/05/03 by Astrid an Huef, Huef, Astrid an, Iain Raeburn +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.1905.01001

Abstract

We consider a family of operator-algebraic dynamical systems involving the Toeplitz algebras of higher-rank graphs. We explicitly compute the KMS states (equilibrium states) of these systems built from small graphs with up to four connected components.

Citations

• Generalized gauge actions on k-graph C^*-algebras: KMS states and Hausdorff structure

Related

• KMS states on the operator algebras of reducible higher-rank graphs
• Equilibrium states on graph algebras
• A program for finding all KMS states on the Toeplitz algebra of a higher-rank graph
• Spatial realisations of KMS states on the C*-algebras of higher-rank graphs
• C*-dynamical invariants and Toeplitz algebras of graphs