On the C*-algebra of a locally injective surjection and its KMS states

2009/12/21 by Klaus Thomsen, Thomsen, Klaus
Mathematics · Physics and Astronomy · #46L60 #Advanced Operator Algebra Research #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0912.4130

openalex publication_date 2009/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It shown that an a locally injective surjection on a compact metric space admits a canonical locally homeomorphic extension such that the associated C*-algebras are isomorphic. This is then used in a study of the possible inverse temperatures of KMS states for a generalized gauge action.

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• KMS states on C*-algebras associated to local homeomorphisms
• Hausdorff Measures and KMS States
• KMS states on C^*-algebras associated to a family of *-commuting\n local homeomorphisms
• KMS states for generalized gauge actions on C*-algebras associated with self-similar sets
• KMS states on C*-algebras associated to expansive maps