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.

Notes on file formats

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

AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.