KMS states on C*-algebras associated to expansive maps
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- by Alex Kumjian and Jean Renault PDF
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Abstract:
Using Walters’ version of the Ruelle-Perron-Frobenius Theorem we show the existence and uniqueness of KMS states for a certain one-parame- ter group of automorphisms on a C*-algebra associated to a positively expansive map on a compact metric space.References
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Additional Information
- Alex Kumjian
- Affiliation: Department of Mathematics, University of Nevada, Reno, Nevada 89557
- Email: alex@unr.edu
- Jean Renault
- Affiliation: Départment de Mathématiques, Université d’Orléans, 45067 Orléans, France
- MR Author ID: 146950
- Email: renault@labomath.univ-orleans.fr
- Received by editor(s): November 11, 2003
- Received by editor(s) in revised form: February 15, 2005
- Published electronically: January 6, 2006
- Communicated by: David R. Larson
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2067-2078
- MSC (2000): Primary 46L05, 46L30, 46L40
- DOI: https://doi.org/10.1090/S0002-9939-06-08214-1
- MathSciNet review: 2215776