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 for topological groups, with coefficients in B...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2001]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1758. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (ix, 214 pages) |
| Bibliography: | Includes bibliographical references (pages [203]-209) and index. |
| ISBN: | 9783540449621 (electronic bk.) 3540449620 (electronic bk.) |
| ISSN: | 0075-8434 ; |