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 |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2001, 2001
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| Edition: | 1st ed. 2001 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
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| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Introduction; Chapter I: Banach modules, $Linfty$ spaces: Banach modules
- $L /infty$ spaces
- Integration. Chapter II: Relative injectivity and amenable actions: Relative injectivity
- Amenability and amenable actions. Chapter III: Definition and characterization of continuous bounded cohomology: A naive definition
- The functorial characterization
- Functoriality
- Continuous cohomology and the comparison map. Chapter IV: Cohomological techniques: General techniques
- Double ergodicity
- Hochschild-Serre spectral Sequence. Chapter V: Towards applications: Interpretations of $(/rm EH) 2 (/rm cb)$
- General irreducible lattices. Bibliography. Index