On the possible temperatures of a dynamical system

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

Research output: Contribution to journalArticle

Abstract

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
Volume74
Issue number3
DOIs
StatePublished - Jun 1 1980

Fingerprint

KMS States
Simple C*-algebras
Ceiling
ceilings
Equilibrium State
dynamical systems
Automorphism Group
set theory
algebra
Dynamical system
Closed
Subset
ground state
Arbitrary
temperature

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the possible temperatures of a dynamical system. / Bratteli, Ola; Elliott, George A.; Herman, Richard H.

In: Communications in Mathematical Physics, Vol. 74, No. 3, 01.06.1980, p. 281-295.

Research output: Contribution to journalArticle

Bratteli, Ola ; Elliott, George A. ; Herman, Richard H. / On the possible temperatures of a dynamical system. In: Communications in Mathematical Physics. 1980 ; Vol. 74, No. 3. pp. 281-295.
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