(Self-)similar groups and the Farrell-Jones conjectures
K-Theory and Homology
2015-01-29 v2 Group Theory
Abstract
We show that contracting self-similar groups satisfy the Farrell-Jones conjectures as soon as their universal contracting cover is non-positively curved. This applies in particular to bounded self-similar groups. We define, along the way, a general notion of contraction for groups acting on a rooted tree in a not necessarily self-similar manner.
Cite
@article{arxiv.1107.5339,
title = {(Self-)similar groups and the Farrell-Jones conjectures},
author = {Laurent Bartholdi},
journal= {arXiv preprint arXiv:1107.5339},
year = {2015}
}
Comments
9 pages; new version corrects terminology and an erroneous claim about zero divisors