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

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.

References in corpus (3)

• von Neuman algebras of strongly connected higher-rank graphs
• Generalized gauge actions on $k$-graph $C^{\ast }$-algebras: KMS states and Hausdorff structure
• KMS states on the Toeplitz algebras of higher-rank graphs