KMS states on the C*-algebras of finite graphs
Operator Algebras
2012-05-11 v1
Abstract
We consider a finite directed graph E, and the gauge action on its Toeplitz-Cuntz-Krieger algebra, viewed as an action of R. For inverse temperatures larger than a critical value \beta_c, we give an explicit construction of all the KMS_{\beta} states. If the graph is strongly connected, then there is a unique KMS_{\beta_c} state, and this state factors through the quotient map onto the C*-algebra C*(E) of the graph. Our approach is direct and relatively elementary.
Keywords
Cite
@article{arxiv.1205.2194,
title = {KMS states on the C*-algebras of finite graphs},
author = {Astrid an Huef and Marcelo Laca and Iain Raeburn and Aidan Sims},
journal= {arXiv preprint arXiv:1205.2194},
year = {2012}
}