On the K-theory of groups with finite asymptotic dimension
K-Theory and Homology
2016-09-23 v5
Abstract
It is proved that the assembly maps in algebraic K- and L-theory with respect to the family of finite subgroups is injective for groups with finite asymptotic dimension that admit a finite model for the classifying space for proper actions. The result also applies to certain groups that admit only a finite dimensional model for this space. In particular, it applies to discrete subgroups of virtually connected Lie groups.
Keywords
Cite
@article{arxiv.math/0605088,
title = {On the K-theory of groups with finite asymptotic dimension},
author = {Arthur Bartels and David Rosenthal},
journal= {arXiv preprint arXiv:math/0605088},
year = {2016}
}
Comments
This version contains an erratum to the paper; it is attached as the last page of the document