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MARC 21

Continuous Bounded Cohomology of Locally Compact Groups
Tag	Description
020	$a9783540449621$9978-3-540-44962-1
082	$a514.2$223
099	$aOnline resource: Springer
245	$aContinuous Bounded Cohomology of Locally Compact Groups$h[EBook] /$cedited by Nicolas Monod.
260	$aBerlin, Heidelberg :$bSpringer Berlin Heidelberg,$c2001.
300	$aXII, 220 p.$bonline resource.
336	$atext$btxt$2rdacontent
337	$acomputer$bc$2rdamedia
338	$aonline resource$bcr$2rdacarrier
440	$aLecture Notes in Mathematics,$x0075-8434 ;$v1758
505	$aIntroduction; 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.
520	$aRecent 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aMonod, Nicolas.$eeditor.
710	$aSpringerLink (Online service)
830	$aLecture Notes in Mathematics,$x0075-8434 ;$v1758
856	$uhttp://dx.doi.org/10.1007/b80626