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On KMS states for self-dual CCR algebras and Bogoliubov automorphism groups

Published online by Cambridge University Press:  24 October 2008

Hidekazu Ogi
Hidekazu Ogi
Affiliation:
Graduate School of Science and Technology, Niigata University, Niigata, 950-21, Japan
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Abstract

Let be the self-dual CCR algebra over a triplet (K, r, Γ), where K is assumed to be a Hilbert space, and let {τt}t ∈ R be a Bogoliubov automorphism group of induced by a strongly continuous one-parameter unitary group on K. In this paper, we introduce some continuity for linear functionals on and, under this continuity, we study existence, uniqueness, and non-uniqueness of KMS states for .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 191 - 197
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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