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Catalogue Information
Field name	Details
Dewey Class	514.2
Title	Continuous Bounded Cohomology of Locally Compact Groups ([EBook] /) / edited by Nicolas Monod.
Added Personal Name	Monod, Nicolas editor.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg, , 2001.
Physical Details	XII, 220 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1758
ISBN	9783540449621
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b80626
Links to Related Works	Subject References: Algebraic Topology . Group theory . Group Theory and Generalizations . Lie groups . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Monod, Nicolas . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 514.2 .

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Continuous Bounded Cohomology of Locally Compact Groups

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