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Rights statement: http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society (Series 2), 53 (1), pp 97-109 2010, © 2010 Cambridge University Press.

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Simplicial cohomology of augmentation ideals in $\ell^1(G)$

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Journal publication date 02/2010 Proceedings of the Edinburgh Mathematical Society 1 53 13 97-109 Published English

Abstract

Let 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.

Bibliographic note

http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society (Series 2), 53 (1), pp 97-109 2010, © 2010 Cambridge University Press.