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 f
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Groningen
Teissier, Paris
1758
Springer Berlin
Heidelberg New York-
Barcelona
Hong Kong London Milan Paris
Singapore Tok.vo
Nicolas Monod
Continuous Bounded Cohomology of
Locally Compact Groups
Qj -
-
184"
Springer
Author Nicolas Monod ETH-Zijrich
Department
of Mathematics
Rdmistrasse 101 8092 Zfirich, Switzerland E-mail: [email protected]
Catal ogin g-i n-Pub I i cation Data Die Deutsche Bibliothek
-
applied
for
CIP-Einheitsaufnahme
Monod, Nicolas: Continuous bounded
cohomology of locally compact groups / Nicolas Heidelberg ; New York ; Barcelona ; Hong Kong London ; Milan Paris ; Singapore ; Tokyo : Springer, 2001 (Lecture notes in mathematics ; 1758) Monod.
-
Berlin
ISBN 3-540-42054-1
Mathematics
Subject Classification (2000): 22E41, 55N35, 20JO5, 20JO6, 22E40
ISSN 0075-8434 ISBN 3-540-42054-1
Springer-Verlag
Berlin
Heidelberg
New York
subject to copyright. All rights are reserved, whether the whole or part specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright This work is
of the material is concerned,
Law.
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Springer-Verlag Berlin Heidelberg Germany
2001
Printed in
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Preface has repeatedly between important led to connections Recent research rigidand bounded cohomology. However, the latter has remained by and ity questions the functorial This monograph introduces study of the conlaxge intractable. in Banach with coefficients for topological bounded cohomology tinuous groups, of this more general modules. The powerful techniques theory have successfully As appliin bounded of the original solved a number cohomology. problems for in particular, results for actions on the one obtains, circle, rigidity cations, and on Teichmiiller on complex representations hyperbolic spaces. spaces This
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