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.
Originalsprog | Engelsk |
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Artikelnummer | 121701 |
Tidsskrift | Journal of Mathematical Physics |
Vol/bind | 64 |
Nummer | 12 |
Antal sider | 27 |
ISSN | 0022-2488 |
DOI | |
Status | Udgivet - dec. 2023 |