| Continuous Bounded Cohomology of Locally Compact Groups 2001 Edition Contributor(s): Monod, Nicolas (Author) |
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ISBN: 3540420541 ISBN-13: 9783540420545 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: June 2001 Annotation: 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 Teichm??ller spaces. A special effort has been made to provide detailed proofs or references in quite some generality. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Medical - Mathematics | Probability & Statistics - General |
| Dewey: 512.55 |
| LCCN: 2001032279 |
| Series: Springer Finance |
| Physical Information: 0.49" H x 6.14" W x 9.21" (0.73 lbs) 220 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 Teichm ller spaces. A special effort has been made to provide detailed proofs or references in quite some generality. |