On the possible temperatures for flows on an AF algebra

2020/11/12 by Klaus Thomsen, Thomsen, Klaus
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2011.06377

openalex publication_date 2020/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We exhibit a unital simple mono-tracial AF algebra A with the property that for any compact set K of real numbers containing 0 there is a periodic flow on A such the set of possible inverse temperatures for that flow is K, and for each number in K the corresponding equilibrium state is unique.

Citations

• KMS-weights on C*-algebras

Related

• Equilibria when the temperature goes to zero
• Generic classification of the quasi-free flows on the Cuntz algebra O₂
• Approximate AF flows
• The bundle of KMS state spaces for flows on a unital C*-algebra
• Entropy theory for the parametrization of the equilibrium states of\n Pimsner algebras