Algebraic and Geometric Topology 3 (2003), paper no. 35, pages 1037-1050.

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

Arthur C. Bartels

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

AMS subject classification. Primary: 19D50. Secondary: 19A31, 19B28.

DOI: 10.2140/agt.2003.3.1037

E-print: arXiv:math.AT/0311216

Submitted: 17 Febuary 2003. (Revised: 7 September 2003.) Accepted: 10 October 2003. Published: 12 October 2003.

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Arthur C. Bartels
SFB 478, Westfalische Wilhelms-Universitat
48149 Munster, Germany
Email: bartelsa@math.uni-muenster.de

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