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KMS states for reduced groups, theta functions and the Powers–Størmer construction

Published online by Cambridge University Press:  24 October 2008

K. C. Hannabuss
K. C. Hannabuss
Affiliation:
Balliol College, Oxford OX1 3BJ
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Abstract

KMS states of a twisted convolution algebra of Schwartz functions on a vector group are classified and related to KMS states of twisted L1-algebras for certain subquotients. The KMS states for the subquotient algebras are also related to Fock states of vector groups. In the particular case of the subquotient Tn × ℤn of ℚ2n this links the Fock space construction of the theta functions with their appearance in KMS states of loop groups and in the Kac character formula.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 2 , March 1989 , pp. 397 - 410
Copyright
Copyright © Cambridge Philosophical Society 1989

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