Skip to main content
SpringerLink
Log in

Continuous Bounded Cohomology of Locally Compact Groups

  • Book
  • © 2001

Overview

Editors:
  1. Nicolas Monod

    1. Department of Mathematics, ETH-Zürich, Zürich, Switzerland

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1758)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Introduction

    Pages 1-7

  3. Banach modules, L∞ spaces

    Pages 9-30

  4. Relative injectivity and amenable actions

    Pages 31-60

  5. Definition and characterization of continuous bounded cohomology

    Pages 61-127

  6. Cohomological techniques

    Pages 129-168

  7. Towards applications

    Pages 169-201

  8. Back Matter

    Pages 203-214
    Download chapter PDF
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, ETH-Zürich, Zürich, Switzerland

    Nicolas Monod

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation