Equilibria when the temperature goes to zero

Klaus Thomsen*

*Corresponding author for this work

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We present methods to construct flows with varying set of KMS states on a given simple unital AF-algebra. It follows, for example, that for any pair D+ and D of non-empty compact metric spaces there is a flow σ = ( σ t ) t ∈ R on the CAR algebra whose set of KMS states is homeomorphic to D+ while the set of KMS states for the inverted flow ( σ − t ) t ∈ R is homeomorphic to D. Remarkably the flows that realize all such pairs D± can be chosen to have isomorphic KMS bundles.

Original languageEnglish
Article number121701
JournalJournal of Mathematical Physics
Number of pages27
Publication statusPublished - Dec 2023


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