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G^3 = Geometric Group Theory on the Gulf Coast
March 16-19, 2006

Mobile, AL, USA

Organizers
Stephen Brick, Craig Jensen, Igor Mineyev.

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Isometry groups of proper hyperbolic spaces
by
Ursula Hamenstaedt
University Bonn

We investige isometry groups of proper hyperbolic spaces X using bounded cohomology. Our main result extends earlier work of Mineyev-Monod-Shalom, with a different proof. Among others, we show that the second continuous bounded cohomology group with real coefficients of a closed non-elementary subgroup G of Iso(X) is infinite dimensional if only if the diagonal action of G on the complement of the diagonal in the product of its limit set is not transitive.

Date received: February 12, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caso-07.