Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Monod, Nicolas (1973-....)
Titre(s) : Continuous bounded cohomology of locally compact groups [Texte électronique] / Nicolas Monod
Publication : Berlin ; New York : Springer, cop. 2001
Description matérielle : 1 online resource (ix, 214 pages)
Collection : Lecture notes in mathematics ; 1758
Note(s) : Includes bibliographical references (pages 203-209) and index
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
Sujet(s) : Groupes localement compacts
Cohomologie
Indice(s) Dewey :
510 (23e éd.) = Mathématiques ; 512.55 (23e éd.) = Algèbres et groupes topologiques et connexes
Identifiants, prix et caractéristiques : ISBN 9783540449621
Identifiant de la notice : ark:/12148/cb44690378p
Notice n° :
FRBNF44690378
(notice reprise d'un réservoir extérieur)
Table des matières : Introduction; Chapter I: Banach modules,
