Bounded cohomology, cross ratios and cocycles

2005/08/26 by Ursula Hamenstaedt, Hamenstaedt, Ursula
Mathematics · #20F65 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GR #math.GT #msc:20F65

paper · pdf · doi:10.48550/arxiv.math/0508532

18 pages

arxiv created 2005/08/26 · openalex publication_date 2005/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use cross ratios to describe second real continuous bounded cohomology for locally compact topological groups. We also derive a rigidity result for cocycles with values in the isometry group of a proper hyperbolic geodesic metric space.

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