- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:59
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
7
2013
1
(Self-)similar groups and the Farrell–Jones conjectures
Laurent
Bartholdi
Georg-August-Universität Göttingen, GÖTTINGEN, GERMANY
Self-similar bounded group, K-theory
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.
Group theory and generalizations
$K$-theory
General
1
11
10.4171/GGD/175
http://www.ems-ph.org/doi/10.4171/GGD/175