Phase transition in O_2
Operator Algebras
2016-10-12 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We exhibit a one-parameter group of automorphism on the Cuntz-algebra O_2 such that the simplex of KMS states changes abruptly at a certain critical temperature from infinitely many to one, and then none. The factor types of the extremal KMS states are also determined.
Cite
@article{arxiv.1510.07513,
title = {Phase transition in O_2},
author = {Klaus Thomsen},
journal= {arXiv preprint arXiv:1510.07513},
year = {2016}
}
Comments
Theorem 2.2 has been corrected in this second version. 11 pages