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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
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.
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- 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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