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The amenability of measure algebras

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The amenability of measure algebras. / Dales, H.G.; Ghahramani, F.; Helemskii, A. Ya.
In: Journal of the London Mathematical Society, Vol. 66, No. 1, 08.2002, p. 213-226.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Dales, HG, Ghahramani, F & Helemskii, AY 2002, 'The amenability of measure algebras', Journal of the London Mathematical Society, vol. 66, no. 1, pp. 213-226. https://doi.org/10.1112/S0024610702003381

APA

Dales, H. G., Ghahramani, F., & Helemskii, A. Y. (2002). The amenability of measure algebras. Journal of the London Mathematical Society, 66(1), 213-226. https://doi.org/10.1112/S0024610702003381

Vancouver

Dales HG, Ghahramani F, Helemskii AY. The amenability of measure algebras. Journal of the London Mathematical Society. 2002 Aug;66(1):213-226. doi: 10.1112/S0024610702003381

Author

Dales, H.G. ; Ghahramani, F. ; Helemskii, A. Ya. / The amenability of measure algebras. In: Journal of the London Mathematical Society. 2002 ; Vol. 66, No. 1. pp. 213-226.

Bibtex

@article{426d1fae05614de4ba0ea2bd5da5af88,
title = "The amenability of measure algebras",
abstract = "In this paper we shall prove that the measure algebra M(G) of a locally compact group G is amenable as a Banach algebra if and only if G is discrete and amenable as a group. Our contribution is to resolve a conjecture by proving that M(G) is not amenable in the case where the group G is not discrete. Indeed, we shall prove a much stronger result: the measure algebra of a non-discrete, locally compact group has a non-zero, continuous point derivation at a certain character on the algebra.",
author = "H.G. Dales and F. Ghahramani and Helemskii, {A. Ya.}",
year = "2002",
month = aug,
doi = "10.1112/S0024610702003381",
language = "English",
volume = "66",
pages = "213--226",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - The amenability of measure algebras

AU - Dales, H.G.

AU - Ghahramani, F.

AU - Helemskii, A. Ya.

PY - 2002/8

Y1 - 2002/8

N2 - In this paper we shall prove that the measure algebra M(G) of a locally compact group G is amenable as a Banach algebra if and only if G is discrete and amenable as a group. Our contribution is to resolve a conjecture by proving that M(G) is not amenable in the case where the group G is not discrete. Indeed, we shall prove a much stronger result: the measure algebra of a non-discrete, locally compact group has a non-zero, continuous point derivation at a certain character on the algebra.

AB - In this paper we shall prove that the measure algebra M(G) of a locally compact group G is amenable as a Banach algebra if and only if G is discrete and amenable as a group. Our contribution is to resolve a conjecture by proving that M(G) is not amenable in the case where the group G is not discrete. Indeed, we shall prove a much stronger result: the measure algebra of a non-discrete, locally compact group has a non-zero, continuous point derivation at a certain character on the algebra.

U2 - 10.1112/S0024610702003381

DO - 10.1112/S0024610702003381

M3 - Journal article

VL - 66

SP - 213

EP - 226

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 1

ER -