Continuous Bounded Cohomology of Locally Compact Groups
Author:   Nicolas Monod
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2001 ed.
Volume:   1758
ISBN:  

9783540420545


Pages:   220
Publication Date:   06 June 2001
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Continuous Bounded Cohomology of Locally Compact Groups


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Overview

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.

Full Product Details

Author:   Nicolas Monod
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2001 ed.
Volume:   1758
Dimensions:   Width: 15.20cm , Height: 1.20cm , Length: 22.90cm
Weight:   0.730kg
ISBN:  

9783540420545


ISBN 10:   3540420541
Pages:   220
Publication Date:   06 June 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Introduction Chapter I Banach modules, $L^/infty$ spaces 1 Banach modules 2 $L^/infty$ spaces 3 Integration Chapter II Relative injectivity and amenable actions 4 Relative injectivity 5 Amenability and amenable actions Chapter III Definition and characterization of continuous bounded cohomology 6 A naive definition 7 The functorial characterization 8 Functoriality 9 Continuous cohomology and the comparison map Chapter IV Cohomological techniques 10 General techniques 11 Double ergodicity 12 Hochschild-Serre spectral sequence Chapter V Towards applications 13 Interpretations of $(^2 /rm EH)rm cb)$ 14 General irreducible lattices Bibliography Index

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