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100   $a20121227d2001      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aContinuous Bounded Cohomology of Locally Compact Groups$b[electronic resource] /$fby Nicolas Monod
205   $a1st ed. 2001.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2001.
215   $a1 online resource (XII, 220 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1758
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-42054-1 
320   $aIncludes bibliographical references and index.
327   $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.
330   $aRecent research has repeatedly led to connections between important rigidity questions and bounded cohomology. However, the latter has remained by and large intractable. This monograph introduces the functorial study of the continuous bounded cohomology for topological groups, with coefficients in Banach modules. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. As applications, one obtains, in particular, rigidity results for actions on the circle, for representations on complex hyperbolic spaces and on Teichmüller spaces. A special effort has been made to provide detailed proofs or references in quite some generality.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1758
606   $aAlgebraic topology
606   $aTopological groups
606   $aLie groups
606   $aGroup theory
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
615  0$aAlgebraic topology.
615  0$aTopological groups.
615  0$aLie groups.
615  0$aGroup theory.
615 14$aAlgebraic Topology.
615 24$aTopological Groups, Lie Groups.
615 24$aGroup Theory and Generalizations.
676   $a510
700   $aMonod$b Nicolas$4aut$4http://id.loc.gov/vocabulary/relators/aut$066294
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910144598703321
996   $aContinuous bounded cohomology of locally compact groups$9377798
997   $aUNINA