---

＜電子ブック＞
Continuous Bounded Cohomology of Locally Compact Groups / by Nicolas Monod
(Lecture Notes in Mathematics. ISSN:16179692 ; 1758)

版	1st ed. 2001.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2001
本文言語	英語
大きさ	XII, 220 p : online resource
著者標目	*Monod, Nicolas author SpringerLink (Online service)
件　名	LCSH:Algebraic topology LCSH:Topological groups LCSH:Lie groups LCSH:Group theory FREE:Algebraic Topology FREE:Topological Groups and Lie Groups FREE:Group Theory and Generalizations
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b80626

 類似資料