(Self-)similar groups and the Farrell-Jones conjectures

Details (Self-)similar groups and the Farrell-Jones conjectures (Self-)similar groups and the Farrell-Jones conjectures

2011-07-26

arxiv.org/abs/1107.5339v2

Mathematics

K-Theory and Homology

9 pages; new version corrects terminology and an erroneous claim about zero divisors

Scientific paper

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.

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