Equilibria when the temperature goes to zero

Klaus Thomsen*

*Corresponding author af dette arbejde

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2 Citationer (Scopus)

Abstract

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.

OriginalsprogEngelsk
Artikelnummer121701
TidsskriftJournal of Mathematical Physics
Vol/bind64
Nummer12
Antal sider27
ISSN0022-2488
DOI
StatusUdgivet - dec. 2023

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