(Self-)similar groups and the Farrell-Jones conjectures
classification
🧮 math.KT
math.GR
keywords
groupsself-similarconjecturescontractingfarrell-jonesactingalongapplies
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.