(Self-)similar groups and the Farrell–Jones conjectures
Laurent Bartholdi
Georg-August-Universität Göttingen, Germany
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Abstract
We show that contracting self-similar groups satisfy the Farrel–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 this article
Laurent Bartholdi, (Self-)similar groups and the Farrell–Jones conjectures. Groups Geom. Dyn. 7 (2013), no. 1, pp. 1–11
DOI 10.4171/GGD/175