The amenability constant of the Fourier algebra

被引：14
|
作者：
Runde, V [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 05期
关键词：
locally compact group; Fourier algebra; amenable Banach algebra; amenability constant; almost abelian group; completely bounded map;
D O I：
10.1090/S0002-9939-05-08164-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a locally compact group G, let A( G) denote its Fourier algebra and G its dual object, i.e., the collection of equivalence classes of unitary representations of G. We show that the amenability constant of A( G) is less than or equal to sup{deg( pi) : pi is an element of G} and that it is equal to one if and only if G is abelian.
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页码：1473 / 1481
页数：9
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