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) |
|---|---|
| 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
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 journal › Article
}
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 -