Isomorphism Conjecture for homotopy K-theory and groups acting on trees
K-Theory and Homology
2007-05-23 v2
Abstract
We discuss an analogon to the Farrell-Jones Conjecture for homotopy algebraic K-theory. In particular, we prove that if a group G acts on a tree and all isotropy groups satisfy this conjecture, then G satisfies this conjecture. This result can be used to get rational injectivity results for the assembly map in the Farrell-Jones Conjecture in algebraic K-theory.
Cite
@article{arxiv.math/0407489,
title = {Isomorphism Conjecture for homotopy K-theory and groups acting on trees},
author = {Arthur Bartels and Wolfgang Lueck},
journal= {arXiv preprint arXiv:math/0407489},
year = {2007}
}
Comments
40 pages, to appear in J. Pure Applied Algebra