English

The possible temperatures for flows on a simple AF algebra

Operator Algebras 2021-06-30 v6 Mathematical Physics math.MP

Abstract

It is shown that for any infinite dimensional simple unital AF algebra A and any closed lower bounded set K of real numbers containing zero there is a flow on A for which the set of possible inverse temperatures is K.

Keywords

Cite

@article{arxiv.2012.03306,
  title  = {The possible temperatures for flows on a simple AF algebra},
  author = {Klaus Thomsen},
  journal= {arXiv preprint arXiv:2012.03306},
  year   = {2021}
}

Comments

v6: Various minor edits. 32 pages. arXiv admin note: text overlap with arXiv:2011.06377

R2 v1 2026-06-23T20:45:50.014Z