Ground states for generalized gauge actions on UHF algebras
Operator Algebras
2020-09-18 v2
Abstract
We describe the structure of ground states and ceiling states for generalized gauge actions on an 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 addtion, we study the KMS-infinity states.
Cite
@article{arxiv.1905.11466,
title = {Ground states for generalized gauge actions on UHF algebras},
author = {Klaus Thomsen},
journal= {arXiv preprint arXiv:1905.11466},
year = {2020}
}
Comments
Improved exposition and added a section on KMS-infinity states