KMS states for generalized gauge actions on Cuntz-Krieger algebras (An application of the Ruelle-Perron-Frobenius Theorem)

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Given a zero-one matrix A we consider certain one-parameter groups of automorphisms of the Cuntz-Krieger algebra O_A, generalizing the usual gauge group, and depending on a positive continuous function H defined on the Markov space Σ_A. The main result consists of an application of Ruelle's Perron-Frobenius Theorem to show that these automorphism groups admit a single KMS state.
Plain TeX, 8 pages

Keywords

Operator Algebras, Mathematical Physics, Dynamical Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/62418

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110183
 http://arxiv.org/abs/math/0110183

Collections

arXiv