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Cover: 9783540420545 | Continuous Bounded Cohomology of Locally Compact Groups | Monod | Buch
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Continuous Bounded Cohomology of Locally Compact Groups
Taschenbuch von Nicolas Monod
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2001
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xii
220 S.
ISBN-13: 9783540420545
ISBN-10: 3540420541
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Monod, Nicolas
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 233 x 155 x 13 mm
Von/Mit: Nicolas Monod
Erscheinungsdatum: 06.06.2001
Gewicht: 0,344 kg
Artikel-ID: 104726342
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2001
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Lecture Notes in Mathematics
Inhalt: xii
220 S.
ISBN-13: 9783540420545
ISBN-10: 3540420541
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Monod, Nicolas
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Lecture Notes in Mathematics
Maße: 233 x 155 x 13 mm
Von/Mit: Nicolas Monod
Erscheinungsdatum: 06.06.2001
Gewicht: 0,344 kg
Artikel-ID: 104726342
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