KMS states and branched points

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We completely classify the KMS states for the gauge action on a $C^*$-algebra associated with a rational function $R$ introduced in our previous work. The gauge action has a phase transition at $β= \log °R$. We can recover the degree of $R$, the number of branched points, the number of exceptional points and the orbits of exceptional points from the structure of the KMS states. We also classify the KMS states for $C^*$-algebras associated with some self-similar sets, including the full tent map and the Sierpinski gasket by a similar method.
32 pages, LaTeX2e formated

Keywords

Operator Algebras, Dynamical Systems, 46L08, 37F10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/110310

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603592
 http://arxiv.org/abs/math/0603592

Collections

arXiv