On the possible temperatures of a dynamical system |
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| Authors: | Ola Bratteli George A. Elliott Richard H. Herman |
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| Affiliation: | (1) Mathematics Institute, University of Oslo, Norway;(2) Centre de Physique Théorique II, CNRS, Marseille, France;(3) Mathematics Institute, University of Copenhagen, Denmark;(4) Department of Mathematics, University of Ottawa, Canada;(5) Department of Mathematics, Pennsylvania State University, 16802 Pennsylvania, PA, USA |
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| Abstract: | A simpleC*-algebra and a continuous one-parameter automorphism group are constructed such that the set of inverse temperatures at which there exist equilibrium states (i.e., KMS states, or, for  =± , ground or ceiling states) is an arbitrary closed subset of IR {±}.With partial support of the National Science Foundation |
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