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research article
Ideal bicombings for hyperbolic groups and applications
2004
For every hyperbolic group and more general hyperbolic graphs, we construct an equivariant ideal bicombing: this is a homological analogue of the geodesic flow on negatively curved manifolds. We then construct a cohomological invariant which implies that several Measure Equivalence and Orbit Equivalence rigidity results established by Monod–Shalom hold for all non-elementary hyperbolic groups and their non-elementary subgroups. We also derive superrigidity results for actions of general irreducible lattices on a large class of hyperbolic metric spaces.
Type
research article
Authors
Publication date
2004
Published in
Volume
43
Issue
6
Start page
1319
End page
1344
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
October 29, 2008
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