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

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

References

Forward citations

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

Volume 3, issue 2 (2003)

Arthur C Bartels