The bundle of KMS state spaces for flows on a unital C*-algebra
Operator Algebras
2021-10-13 v2
Abstract
It is shown that any bundle of KMS state spaces which can occur for a flow on a unital separable C*-algebra with a trace state can also be realized by a flow on any given unital infinite-dimensional simple AF algebra with a tracial state space affinely homeomorphic to the fiber in the bundle over 0.
Cite
@article{arxiv.2109.06464,
title = {The bundle of KMS state spaces for flows on a unital C*-algebra},
author = {George A. Elliott and Klaus Thomsen},
journal= {arXiv preprint arXiv:2109.06464},
year = {2021}
}
Comments
v2: Small corrections to the exposition and some arguments, 19 pages, no figures