Algebras of rapid decay functions on groups and cocycles of polynomial growth

DOI10.1007/BF00971128zbMath0789.20030OpenAlexW2093520500MaRDI QIDQ1204746

Guennadi A. Noskov

Publication date: 28 March 1993

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971128

zbMATH Keywords

stabilityextensionshyperbolic groupreduced \(C^*\)-algebraspace of smooth functionsproperty (RD)rapidly decreasing functions\(\mathbb{R}\)-valued 2-cocyclegroup with word metric

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Homological methods in group theory (20J05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Equivariant KK-theory and the Novikov conjecture
• Cohomological topics in group theory.
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