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arXiv · 1107.5339

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

Laurent Bartholdi
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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.

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Laurent Bartholdi. 2011-07-26. (Self-)similar groups and the Farrell-Jones conjectures. https://doi.org/10.4171/ggd/175

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