KMS states on

Article Type

Research Article

Publication Title

Glasgow Mathematical Journal

Abstract

Let be the universal -algebra generated by a semigroup of isometries whose range projections commute. We analyse the structure of KMS states on for the time evolution determined by a homomorphism. In contrast to the reduced version, we show that the set of KMS states on has a rich structure. In particular, we exhibit uncountably many extremal KMS states of type I, II and III.

First Page

501

Last Page

528

DOI

https://10.1017/S0017089523000071

Publication Date

9-3-2023

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