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

DOI10.1017/S030500410006789XzbMath0696.22013MaRDI QIDQ3472319

Keith C. Hannabuss

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

theta functionsSchwartz functionsloop groupsKMS statestwisted convolution algebravector groupsFock statesKac character formulatwisted \(L^ 1\)-algebras

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Cites Work

• Unnamed Item
• Unitary representations of group extensions. I
• Infinite dimensional Lie algebras. An introduction
• Temperature states on loop groups, theta functions and the Luttinger model
• Representation of nilpotent locally compact groups
• Multiplier representations of Abelian groups
• Twisted group algebras I, II
• Free states of the canonical anticommutation relations

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