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Science/Engineering Continuous Bounded Cohomology of Locally Compact Groups

Posted on 2010-03-16




Name:Science/Engineering Continuous Bounded Cohomology of Locally Compact Groups
ASIN/ISBN:3540420541
Language:English
File size:2 Mb
Publisher: Springer
Pages: 214
Publish Date: 2001-06-27
ISBN: 3540420541
File Size: 2 MB
Other Info: DJVU
   Science/Engineering Continuous Bounded Cohomology of Locally Compact Groups

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Continuous Bounded Cohomology of Locally Compact Groups

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.

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