On the group theoretic approach to the canonical anticommutation relations

DOI10.2977/PRIMS/1195182440zbMath0539.46039OpenAlexW1992054877MaRDI QIDQ793948

William Moran, Alan L. Carey

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182440

zbMATH Keywords

Fock representationirreducible representationsCAR algebraprojective representation theory of abelian groupspure infinite tensor product statestwisted group \(C^*\)-algebras

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Cites Work

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• Unitary representations of group extensions. I
• Representation of nilpotent locally compact groups
• Representations of \(AF\)-algebras and of the group \(U(\infty)\)
• Multiplier representations of Abelian groups
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Non-Monomial Unitary Representations of Nilpotent Groups I: The Abelian Case
• Riesz Products and Generalized Characters

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