Finite part of operator \(K\)-theory for groups with rapid decay

DOI10.4171/JNCG/205zbMath1338.19001arXiv1309.3341MaRDI QIDQ893793

Sherry Gong

Publication date: 20 November 2015

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3341

zbMATH Keywords

idempotentstracesoperator \(K\)-theorygroup \(C^*\)-algebrasreduced \(C^*\)-algebrasrapid decay propertyunique tracial state

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) (K_0) of group rings and orders (19A31) Linear operators in algebras (47C05)

Related Items (6)

An index theorem for higher orbital integrals ⋮ An equivariant orbifold index for proper actions ⋮ Property RD and the classification of traces on reduced group C∗-algebras of hyperbolic groups ⋮ On reduced twisted group \(C^{\ast}\)-algebras that are simple and/or have a unique trace ⋮ Bounds for the rank of the finite part of operator \(K\)-theory ⋮ Orbital integrals and \(K\)-theory classes

Cites Work

• On the isomorphism conjecture in algebraic \(K\)-theory.
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