Isometry groups of proper hyperbolic spaces

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Let X be a proper hyperbolic geodesic metric space and let G be a closed subgroup of the isometry group Iso(X) of X. We show that if G is not amenable then its second continuous bounded cohomology group with coefficients the regular representation does not vanish. This yields some structure results for such groups.
30 pages; writing improved, details added. Combined with parts of math.GR/0508532. To appear in GAFA

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Group Theory, Geometric Topology, 22F50

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http://salesiana.dossiersoluciones.com/handle/123456789/156852

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507608
 http://arxiv.org/abs/math/0507608

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arXiv