KMS states on the C*-algebras of finite graphs

Authors

Astrid An Huef, University of OtagoFollow
Marcelo Laca, University of Victoria
Iain F. Raeburn, University of OtagoFollow
Aidan D. Sims, University of WollongongFollow

RIS ID

79337

Publication Details

An Huef, A., Laca, M., Raeburn, I. F. & Sims, A. D. (2013). KMS states on the C*-algebras of finite graphs. Journal of Mathematical Analysis and Applications, 405 (2), 388-399.

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 βc, we give an explicit construction of all the KMSβ states. If the graph is strongly connected, then there is a unique KMSβc state, and this state factors through the quotient map onto C*(E). Our approach is direct and relatively elementary.

Grant Number

ARC/FT100100533

Grant Number

ARC/DP120100507