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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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Simplicial cohomology of augmentation ideals in $\ell^1(G)$. / Choi, Yemon.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 53, No. 1, 02.2010, p. 97-109.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Choi, Y 2010, 'Simplicial cohomology of augmentation ideals in $\ell^1(G)$', Proceedings of the Edinburgh Mathematical Society, vol. 53, no. 1, pp. 97-109. https://doi.org/10.1017/S0013091508000060

APA

Choi, Y. (2010). Simplicial cohomology of augmentation ideals in $\ell^1(G)$. Proceedings of the Edinburgh Mathematical Society, 53(1), 97-109. https://doi.org/10.1017/S0013091508000060

Vancouver

Choi Y. Simplicial cohomology of augmentation ideals in $\ell^1(G)$. Proceedings of the Edinburgh Mathematical Society. 2010 Feb;53(1):97-109. doi: 10.1017/S0013091508000060

Author

Choi, Yemon. / Simplicial cohomology of augmentation ideals in $\ell^1(G)$. In: Proceedings of the Edinburgh Mathematical Society. 2010 ; Vol. 53, No. 1. pp. 97-109.

Bibtex

@article{37936fb5e5d2435a8809bb0ae38bc6fd,
title = "Simplicial cohomology of augmentation ideals in $\ell^1(G)$",
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. ",
keywords = "bounded cohomology, simplicial cohomology , Banach algebras , commutative-transitive group",
author = "Yemon Choi",
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, {\textcopyright} 2010 Cambridge University Press.",
year = "2010",
month = feb,
doi = "10.1017/S0013091508000060",
language = "English",
volume = "53",
pages = "97--109",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Simplicial cohomology of augmentation ideals in $\ell^1(G)$

AU - Choi, Yemon

N1 - 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.

PY - 2010/2

Y1 - 2010/2

N2 - 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.

AB - 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.

KW - bounded cohomology

KW - simplicial cohomology

KW - Banach algebras

KW - commutative-transitive group

U2 - 10.1017/S0013091508000060

DO - 10.1017/S0013091508000060

M3 - Journal article

VL - 53

SP - 97

EP - 109

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 1

ER -