000 03059nam a22005055i 4500
001 978-3-540-44962-1
003 DE-He213
005 20160624101820.0
007 cr nn 008mamaa
008 121227s2001 gw | s |||| 0|eng d
020 _a9783540449621
_9978-3-540-44962-1
024 7 _a10.1007/b80626
_2doi
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
082 0 4 _a514.2
_223
245 1 0 _aContinuous Bounded Cohomology of Locally Compact Groups
_h[electronic resource] /
_cedited by Nicolas Monod.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2001.
264 1 _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
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1758
505 0 _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.
650 0 _aMathematics.
650 0 _aGroup theory.
650 0 _aTopological Groups.
650 0 _aAlgebraic topology.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Topology.
650 2 4 _aTopological Groups, Lie Groups.
650 2 4 _aGroup Theory and Generalizations.
700 1 _aMonod, Nicolas.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540420545
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1758
856 4 0 _uhttp://dx.doi.org/10.1007/b80626
942 _2EBK1295
_cEBK
999 _c30589
_d30589