Continuous Control and the Algebraic L-theory Assembly Map
Algebraic Topology
2010-07-07 v1 K-Theory and Homology
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.
Cite
@article{arxiv.math/0312046,
title = {Continuous Control and the Algebraic L-theory Assembly Map},
author = {David Rosenthal},
journal= {arXiv preprint arXiv:math/0312046},
year = {2010}
}
Comments
15 pages