000 | 03059nam a22005055i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/b80626 _2doi |
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050 | 4 | _aQA612-612.8 | |
072 | 7 |
_aPBPD _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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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. |
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264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2001. |
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300 |
_aXII, 220 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1758 |
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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. |
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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 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b80626 |
942 |
_2EBK1295 _cEBK |
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999 |
_c30589 _d30589 |