On the possible temperatures of a dynamical system

Ola Bratteli, George A. Elliott, Richard H. Herman

Research output: Contribution to journalArticlepeer-review


A simple C*-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 β=±∞, ground or ceiling states) is an arbitrary closed subset of IR∪{±∞}.

Original languageEnglish (US)
Pages (from-to)281-295
Number of pages15
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Jun 1980
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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