Assembly maps, \(K\)-theory, and hyperbolic groups
type: Item
instance of: scholarly article
title: Assembly maps, \(K\)-theory, and hyperbolic groups
zbMATH Open document ID: 0776.19004
DOI: 10.1007/BF00961465
published in: \(K\)-Theory
publication date: 1993-04-01T00:00:00Z
review text: The author begins by constructing generalized assembly maps in topological, algebraic and Hermitian \(K\)-theory. He then shows that the topological version is injective after tensoring with the complex numbers, provided that the group involved satisfies suitable conditions. In particular, the result holds if the group is finitely generated and word-hyperbolic. There is an analogous result in algebraic \(K\)-theory. From the topological result it follows that the equivariant Novikov conjecture holds for the groups concerned.
Mathematics Subject Classification ID: 19D55
Mathematics Subject Classification ID: 57R19
zbMATH DE Number: 149772
zbMATH Keywords: topological \(K\)-theory
zbMATH Keywords: hyperbolic group
zbMATH Keywords: generalized assembly maps
zbMATH Keywords: Hermitian \(K\)-theory
zbMATH Keywords: algebraic \(K\)-theory
zbMATH Keywords: equivariant Novikov conjecture
author: Crichton Ogle
reviewed by: Richard John Steiner
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 149772