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KMS States for generalized Gauge actions on Cuntz-Krieger algebras |
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| Authors: | Ruy?Exel mailto:exel@mtm.ufsc.br" title=" exel@mtm.ufsc.br" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Departamento de Matemática, Universidade Federal de Santa Catarina, 88040-900 Florianópolis SC, Brazil |
| Abstract: | Given a zero-one matrix A we consider certain one-parameter groups of automorphisms of the Cuntz-Krieger algebra  , generalizing the usual gauge group, and depending on a positive continuous function H defined on the Markov space  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.*Partially supported by CNPq. |
| Keywords: | C*-algebras Cuntz-Krieger algebras KMS states gauge action Ruelle-Perron-Frobenius Theorem |
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