ENGLISH

Continuous Bounded Cohomology of Locally Compact Groups

By Nicolas Monod (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2001
ISBN
3540420541, 9783540420545
DOI
10.1007/b80626
ISSN
0075-8434
Open Library ID
OL9057284M
Language
english
Format
DJVU
Filesize
2 MB (2262908 bytes)
Series
Lecture Notes in Mathematics 1758
Edition
1
Pages
220\218
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Algebraic Topology; Topological GroupsLie Groups; Group Theory and Generalizations

Description

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.

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