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NachrichtenLexikonProtokolleBücherForenFreitag, 31. Oktober 2014 

Continuous Bounded Cohomology of Locally Compact Groups (Lecture Notes in Mathematics Vol. 1758)


von Nicolas Monod

Kategorie: Algebra
ISBN: 3540420541

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Kurzbeschreibung Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.

Synopsis Research has repeatedly led to connect important rigidity questions with bounded cohomology. However, the latter remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. This more general theory benefits from powerful techniques and proves successful in solving a number of the original problems in bounded cohomology. As applications, one obtains notably rigidity results for...


Algebra > Continuous Bounded Cohomology of Locally Compact Groups (Lecture Notes in Mathematics Vol. 1758)
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