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On the domain of the assembly map in algebraic $K$–theory

Arthur C Bartels

Algebraic & Geometric Topology 3 (2003) 1037–1050

arXiv: math.AT/0311216

Abstract

We compare the domain of the assembly map in algebraic K–theory with respect to the family of finite subgroups with the domain of the assembly map with respect to the family of virtually cyclic subgroups and prove that the former is a direct summand of the later.

Keywords
$K$–theory, group rings, isomorphism conjecture
Mathematical Subject Classification 2000
Primary: 19D50
Secondary: 19A31, 19B28
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Publication
Received: 17 2003
Revised: 7 September 2003
Accepted: 10 October 2003
Published: 12 October 2003
Authors
Arthur C Bartels
SFB 478
Westfälische Wilhelms-Universität
48149 Münster
Germany