2005/07/29 by Ursula Hamenstädt, Hamenstadt, Ursula
Mathematics · #22F50 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Group Theory (math.GR)
paper · pdf · doi:10.48550/arxiv.math/0507608
openalex publication_date 2005/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.