Continuous Bounded Cohomology of Locally Compact Groups by Nicolas Monod (Englis

Description: Continuous Bounded Cohomology of Locally Compact Groups by Nicolas Monod Recent research has repeatedly led to connections between important rigidity questions and bounded cohomology. The powerful techniques of this more general theory have successfully solved a number of the original problems in bounded cohomology. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Notes Springer Book Archives Table of Contents 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. Promotional Springer Book Archives Long Description 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 Teichm Feature Includes supplementary material: sn.pub/extras Details ISBN3540420541 Author Nicolas Monod Short Title CONTINUOUS BOUNDED COHOMOLOGY Language English ISBN-10 3540420541 ISBN-13 9783540420545 Media Book Format Paperback DEWEY 512.55 Series Number 1758 Year 2001 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Birth 1973 Pages 220 Illustrations XII, 220 p. DOI 10.1007/b80626;10.1007/978-3-540-44962-1 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description 2001 ed. Series Lecture Notes in Mathematics Edition 2001st Publication Date 2001-06-06 Audience Undergraduate We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96271021;

Price: 116.58 AUD

Location: Melbourne

End Time: 2025-01-27T12:33:49.000Z

Shipping Cost: 13.14 AUD