Ground States for Generalized Gauge Actions on UHF Algebras

Klaus Thomsen*

*Corresponding author af dette arbejde

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Abstract

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

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