Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616310 | Journal of Mathematical Analysis and Applications | 2013 | 12 Pages |
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 Câ(E). Our approach is direct and relatively elementary.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Astrid an Huef, Marcelo Laca, Iain Raeburn, Aidan Sims,