(Self-)similar groups and the Farrell–Jones conjectures
Groups, geometry, and dynamics, Tome 7 (2013) no. 1, pp. 1-11
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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.
Classification :
20-XX, 19-XX, 00-XX
Mots-clés : Self-similar bounded group, K-theory
Mots-clés : Self-similar bounded group, K-theory
Affiliations des auteurs :
Laurent Bartholdi  1
Laurent Bartholdi. (Self-)similar groups and the Farrell–Jones conjectures. Groups, geometry, and dynamics, Tome 7 (2013) no. 1, pp. 1-11. doi: 10.4171/ggd/175
@article{10_4171_ggd_175,
author = {Laurent Bartholdi},
title = {(Self-)similar groups and the {Farrell{\textendash}Jones} conjectures},
journal = {Groups, geometry, and dynamics},
pages = {1--11},
year = {2013},
volume = {7},
number = {1},
doi = {10.4171/ggd/175},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/175/}
}
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