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

Choi, Yemon (2010) Simplicial cohomology of augmentation ideals in $\ell^1(G)$. Proceedings of the Edinburgh Mathematical Society, 53 (1). pp. 97-109. ISSN 0013-0915

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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.

Item Type:

Journal Article

Journal or Publication Title:

Proceedings of the Edinburgh Mathematical Society

Additional Information:

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.

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2600

Subjects:

?? bounded cohomologysimplicial cohomology banach algebras commutative-transitive groupgeneral mathematicsmathematics(all) ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

68306

Deposited By:

ep_importer_pure

Deposited On:

24 Jan 2014 05:52

Refereed?:

Yes

Published?:

Published

Last Modified:

12 Sep 2024 00:15

URI:

https://eprints.lancs.ac.uk/id/eprint/68306