Bounded cohomology and isometry groups of hyperbolic spaces

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dc.creatorHamenstaedt, Ursula
dc.date2005-07-05
dc.date2006-09-30
dc.date.accessioned2026-07-07T06:42:34Z
dc.date.available2026-07-07T06:42:34Z
dc.descriptionLet X be an arbitrary hyperbolic geodesic metric space and let G be a countable non-elementary weakly acylindrical group of isometries of X. We show that the second bounded cohomology group of G with real coefficients or with coefficients in the regular representation is infinite dimensional. The result holds for any subgroup of the mapping class group of a non-exceptional surface of finite type not containing a normal subgroup which virtually split as a direct product.
dc.description36 pages; Corollary 4.5 corrected, writing improved
dc.identifierhttps://arxiv.org/abs/math/0507097
dc.identifierhttp://arxiv.org/abs/math/0507097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102092
dc.subjectGroup Theory
dc.subjectDynamical Systems
dc.subject20F65
dc.titleBounded cohomology and isometry groups of hyperbolic spaces
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