### 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 language | English (US) |
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Pages (from-to) | 281-295 |

Number of pages | 15 |

Journal | Communications in Mathematical Physics |

Volume | 74 |

Issue number | 3 |

DOIs | |

State | Published - Jun 1 1980 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*74*(3), 281-295. https://doi.org/10.1007/BF01952891

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

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 74, no. 3, pp. 281-295. https://doi.org/10.1007/BF01952891

}

TY - JOUR

T1 - On the possible temperatures of a dynamical system

AU - Bratteli, Ola

AU - Elliott, George A.

AU - Herman, Richard H.

PY - 1980/6/1

Y1 - 1980/6/1

N2 - 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∪{±∞}.

AB - 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∪{±∞}.

UR - http://www.scopus.com/inward/record.url?scp=0000720077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000720077&partnerID=8YFLogxK

U2 - 10.1007/BF01952891

DO - 10.1007/BF01952891

M3 - Article

AN - SCOPUS:0000720077

VL - 74

SP - 281

EP - 295

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -