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Ground States for Generalized Gauge Actions on UHF Algebras

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We describe the structure of ground states and ceiling states for generalized gauge actions on a UHF algebra. It is shown that both sets are affinely homeomorphic to the state space of a unital AF algebra, and that any pair of unital AF algebras can occur in this way, independently of the field of KMS states. In addition we study the subset of the ground states called KMS -states.

OriginalsprogEngelsk
TidsskriftCommunications in Mathematical Physics
Vol/bind386
Nummer1
Sider (fra-til)57-85
Antal sider29
ISSN0010-3616
DOI
StatusUdgivet - aug. 2021

Bibliografisk note

Funding Information:
I am grateful to Johannes Christensen for discussions, and for reading and commenting on earlier versions of the paper. The work was supported by the DFF-Research Project 2 ‘Automorphisms and Invariants of Operator Algebras’, No. 7014-00145B.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

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