KMS states on crossed products by abelian groups

TL;DR

This paper characterizes KMS states for flows on crossed product C*-algebras with abelian group actions, combining spectral analysis and regularity conditions to describe equilibrium states.

Contribution

It provides a general framework for describing KMS states on crossed products by abelian groups, extending previous results with new spectral analysis techniques.

Findings

Characterization of KMS states under regularity conditions

Application to flows on crossed products by abelian groups

Integration of spectral analysis methods

Abstract

We provide a general description of the KMS states for flows whose fixed point algebra satisfies a certain regularity condition. This is the applied to crossed products by discrete groups, and in particular to certain flows on crossed products by discrete abelian groups where the methods can be combined with spectral analysis for abelian automrphism groups.