On the possible temperatures for flows on an AF algebra
arXiv:2011.06377
Abstract
We exhibit a unital simple mono-tracial AF algebra A with the property that for any compact set K of real numbers containing 0 there is a periodic flow on A such the set of possible inverse temperatures for that flow is K, and for each number in K the corresponding equilibrium state is unique.
v3: Formulation of Remark 3.2 and Lemma 3.4 corrected. 21 pages