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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Analytic generators and the KMS condition


Author: Jean De Cannière
Journal: Proc. Amer. Math. Soc. 88 (1983), 287-292
MSC: Primary 46L40; Secondary 30C80, 82A15
MathSciNet review: 695260
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Abstract: The KMS condition at arbitrary $ \beta $ for a state $ \omega $ of a $ {C^ * }$-dynamical system $ (A,{\mathbf{R}},\alpha )$ is stated in terms of the analytic continuation of the correlation functions $ t \mapsto \omega ({x^ * }{\alpha _t}(x))(x \in A){\text{in}} - i({\text{or}} + i)$. The precise formulation involves the analytic generator of $ \alpha $ (or its inverse).


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DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0695260-6
PII: S 0002-9939(1983)0695260-6
Article copyright: © Copyright 1983 American Mathematical Society