#### Volume 3, issue 2 (2003)

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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
##### Publication
Revised: 7 September 2003
Accepted: 10 October 2003
Published: 12 October 2003
##### Authors
 Arthur C Bartels SFB 478 Westfälische Wilhelms-Universität 48149 Münster Germany