The factor type of conservative KMS weights on graph C*-algebras

TL;DR

This paper characterizes the type of factors arising from GNS representations of KMS-weights on simple graph C*-algebras, specifically when the associated measure on the path space is conservative, improving previous results.

Contribution

It advances the understanding of the factor types generated by KMS-weights on graph C*-algebras under conservative measures, refining earlier theorems.

Findings

Identifies the factor type for GNS representations with conservative measures

Provides a more precise classification compared to previous work

Enhances the theoretical framework for KMS-weights on graph C*-algebras

Abstract

We determine the factor generated by the GNS-representation defined by a KMS-weight for a generalized gauge action on a simple graph C*-algebra when the corresponding measure on the path space of the graph is conservative for the shift. This is an improvment of Theorem 3.2 in arXives 1412.6762.