Nuclear group algebras for finitely generated groups

DOI10.36045/j.bbms.200304OpenAlexW3109141239MaRDI QIDQ1999145

Simone Gutt, Stefan Waldmann, Michel Cahen

Publication date: 18 March 2021

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.07746

zbMATH Keywords

group algebrasnuclear spacesFréchet-Hopf \(^*\)-algebrasgrowth of a finitely generated group

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Deformation quantization, star products (53D55) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Complete rings, completion (13J10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (1)

Convergent star products on cotangent bundles of Lie groups

Cites Work

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• K-theory of reduced \(C^*\)-algebras and rapidly decreasing functions on groups
• Complete growth functions of hyperbolic groups
• Relatively hyperbolic groups, rapid decay algebras, and a generalization of the Bass conjecture
• Fréchet algebraic deformation quantization
• Einführung in die Theorie der lokalkonvexen Räume
• Rapidly Decreasing Functions in Reduced C ∗ -Algebras of Groups
• Locally multiplicatively-convex topological algebras

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