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arXiv · 2301.08080

Equilibria when the temperature goes to zero

Klaus Thomsen
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Abstract

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

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Klaus Thomsen. 2023-01-19. Equilibria when the temperature goes to zero. https://arxiv.org/abs/2301.08080

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