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On transfer in bounded cohomology

2009/10/03 by Indira Chatterji, Chatterji, Indira, Guido Mislin +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GR

paper · pdf · doi:10.48550/arxiv.0910.0514

8 pages

arxiv created 2009/10/03 · arxiv updated 2009/12/01

Abstract

We define a transfer map in the setting of bounded cohomology with certain metric G-module coefficients. As an application, we extend a theorem of Chatterji, Mislin, Pittet and Saloff-Coste on the comparison map from Borel-bounded to Borel cohomology, to cover the case of Lie groups with finitely many connected components.

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