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- Title
Continuous control and the algebraic L-theory assembly map.
- Authors
Rosenthal, David
- 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.
- Subjects
TOPOLOGY; CATEGORIES (Mathematics); HOMOLOGICAL algebra; K-theory; TORSION products
- Publication
Forum Mathematicum, 2006, Vol 18, Issue 2, p193
- ISSN
0933-7741
- Publication type
Article
- DOI
10.1515/FORUM.2006.012