Simplicial cohomology of augmentation ideals in l1(G)
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Published:2010-01-12
Issue:1
Volume:53
Page:97-109
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ISSN:0013-0915
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Container-title:Proceedings of the Edinburgh Mathematical Society
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language:en
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Short-container-title:Proceedings of the Edinburgh Mathematical Society
Abstract
AbstractLet G be a discrete group.We give a decomposition theorem for the Hochschild cohomology of l1(G) with coefficients in certain G-modules. Using this we show that if G is commutative-transitive, the canonical inclusion of bounded cohomology of G into simplicial cohomology of l1(G) is an isomorphism.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics