Journal article
Trace states and KMS states for approximately inner dynamical one-parameter groups of -automorphisms
Communications in mathematical physics, Vol.53(no. 2), pp.135-142
1977
DOI: 10.1007/BF01609127
Abstract
The usual definition of approximately inner one-parameter groups of *-automorphisms of C*-algebras (approximately inner dynamical one-parameter groups) contains a slight asymmetry. When this asymmetry is "corrected", we show that if an approximately inner dynamical one-parameter group has KMS states for one value of inverse temperature β=1/kT, then it has KMS states for all values of β. By the Powers-Sakai Theorem it is enough to show that there is a trace state. We obtain a trace state as a limit of a sequence of "vector states" with respect to a given KMS state and thus solve a problem raised in [6]. © 1977 Springer-Verlag.
Details
- Title: Subtitle
- Trace states and KMS states for approximately inner dynamical one-parameter groups of -automorphisms
- Creators
- Palle E. T Jørgensen
- Resource Type
- Journal article
- Publication Details
- Communications in mathematical physics, Vol.53(no. 2), pp.135-142
- DOI
- 10.1007/BF01609127
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- Publisher
- Springer-Verlag
- Date published
- 1977
- Academic Unit
- Mathematics
- Record Identifier
- 9984240874902771
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