KMS states, conformal measures and ends in digraphs
Klaus Thomsen
TL;DR
This paper introduces new tools combining graph theory, random walks, and dynamical systems to analyze KMS-weights and states in graph C*-algebras, enhancing understanding of their structure and properties.
Contribution
It develops a novel framework for studying KMS-weights and states in graph C*-algebras using interdisciplinary methods from graph theory and dynamical systems.
Findings
New characterization of KMS-weights in graph C*-algebras
Connections established between conformal measures and graph ends
Tools for analyzing KMS states on corners of graph C*-algebras
Abstract
The paper develops a series of tools for the study of KMS-weights on graph C*-algebras and KMS states on their corners. The approach adopts methods and ideas from graph theory, random walks and dynamical systems.
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