Ground States for Generalized Gauge Actions on UHF Algebras

Klaus Thomsen*

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review


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.

Original languageEnglish
JournalCommunications in Mathematical Physics
Pages (from-to)57-85
Number of pages29
Publication statusPublished - Aug 2021


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