KMS states and conformal measures
Operator Algebras
2015-05-30 v4 Mathematical Physics
math.MP
Abstract
From a non-constant holomorphic map on a connected Riemann surface we construct an 'etale second countable locally compact Hausdorff groupoid whose associated groupoid C*-algebra admits a one-parameter group of automorphisms with the property that its KMS states corresponds to conformal measures in the sense of Sullivan. In this way certain quadratic polynomials give rise to quantum statistical models with a phase transition arising from spontaneous symmetry breaking.
Cite
@article{arxiv.1109.2336,
title = {KMS states and conformal measures},
author = {Klaus Thomsen},
journal= {arXiv preprint arXiv:1109.2336},
year = {2015}
}
Comments
The last section revised. This version will appear in Comm. Math. Phys