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- Publisher
- de Gruyter
- Copyright
- © Walter de Gruyter
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/FORUM.2006.012
- Publisher site
- See Article on Publisher Site
Abstract
In this work, the assembly map in L -theory for the family of finite subgroups is proven to be a split injection for a class of groups. Groups in this class, including virtually polycyclic groups, have universal spaces that satisfy certain geometric conditions. The proof follows the method developed by Carlsson-Pedersen to split the assembly map in the case of torsion free groups. Here, the continuously controlled techniques and results are extended to handle groups with torsion.
Journal
Forum Mathematicum – de Gruyter
Published: Mar 21, 2006