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Continuous Bounded Cohomology of Locally Compact Groups : Springer Finance - Nicolas Monod

Continuous Bounded Cohomology of Locally Compact Groups

Springer Finance

Paperback Published: June 2001
ISBN: 9783540420545
Number Of Pages: 220

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Introduction Chapter I Banach modules,L^/infty$ spaces 1 Banach modules 2L^/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

Preface
Introductionp. 1
Banach modules, L[superscript [infinity]] spacesp. 9
Banach modulesp. 9
L[superscript [infinity]] spacesp. 17
Integrationp. 24
Relative injectivity and amenable actionsp. 31
Relative injectivityp. 31
Amenability and amenable actionsp. 45
Definition and characterization of continuous bounded cohomologyp. 61
A naive definitionp. 61
The functorial characterizationp. 66
Functorialityp. 91
Continuous cohomology and the comparison mapp. 119
Cohomological techniquesp. 129
General techniquesp. 129
Double ergodicityp. 143
Hochschild-Serre spectral sequencep. 155
Towards applicationsp. 169
Interpretations of EH[subscript cb][superscript 2]p. 170
General irreducible latticesp. 185
Bibliographyp. 203
Indexp. 211
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540420545
ISBN-10: 3540420541
Series: Springer Finance
Audience: General
Format: Paperback
Language: English
Number Of Pages: 220
Published: June 2001
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.25
Weight (kg): 0.33

Earn 222 Qantas Points
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