Continuous bounded cohomology of locally compact groups /

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Bibliographic Details
Author / Creator:	Monod, Nicolas, 1973-
Imprint:	Berlin ; New York : Springer, ©2001.
Description:	1 online resource (ix, 214 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1758 Lecture notes in mathematics (Springer-Verlag) ; 1758.
Subject:	Locally compact groups. Homology theory. Homology theory. Locally compact groups.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11064932

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ISBN:	9783540449621 3540449620 3540420541 9783540420545
Notes:	Includes bibliographical references (pages 203-209) and index.
Summary:	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 Teichmller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.
Other form:	Print version: Monod, Nicolas, 1973- Continuous bounded cohomology of locally compact groups. Berlin ; New York : Springer, ©2001 3540420541

Table of Contents:

Introduction; Chapter I: Banach modules, $Linfty$ spaces: Banach modules
$L^/infty$ spaces
Integration. Chapter II: Relative injectivity and amenable actions: Relative injectivity
Amenability and amenable actions. Chapter III: Definition and characterization of continuous bounded cohomology: A naive definition
The functorial characterization
Functoriality
Continuous cohomology and the comparison map. Chapter IV: Cohomological techniques: General techniques
Double ergodicity
Hochschild-Serre spectral Sequence. Chapter V: Towards applications: Interpretations of $(/rm EH)^2 (/rm cb)$
General irreducible lattices. Bibliography. Index.

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