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.
Original language | English |
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Article number | 121701 |
Journal | Journal of Mathematical Physics |
Volume | 64 |
Issue | 12 |
Number of pages | 27 |
ISSN | 0022-2488 |
DOIs | |
Publication status | Published - Dec 2023 |