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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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KMS states on C*-algebras associated to expansive maps
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by Alex Kumjian and Jean Renault PDF
Proc. Amer. Math. Soc. 134 (2006), 2067-2078 Request permission

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.
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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