KMS states on C*-algebras associated to expansive maps

2003/05/01 by Alex Kumjian, Kumjian, Alex, Jean Renault +1 · 1 citation
Mathematics · #46L30 #46L40 #46L55 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Equations Stability Results #Operator Algebras (math.OA) #math.OA #msc:46L30 #msc:46L40 #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/0305044

9 pages, minor changes, submitted to Proceedings of the AMS

openalex publication_date 2003/05/01 · arxiv created 2003/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Walters' version of the Ruelle-Perron-Frobenius Theorem we show the existence and uniqueness of KMS states for a certain one-parameter group of automorphisms on a C*-algebra associated to a positively expansive map on a compact metric space.

Citations

• Cohomology of topological graphs and Cuntz-Pimsner algebras

Cited by

• Limit sets as examples in noncommutative geometry

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