Subalgebras generated by extreme points in Fourier-Stieltjes algebras of locally compact groups

被引：6
|
作者：
Cheng, Michael Yin-hei [1 ]
机构：
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
来源：
STUDIA MATHEMATICA | 2011年 / 202卷 / 03期
关键词：
Fourier-Stieltjes algebra; locally compact group; extreme point; spectrums; UNITARY REPRESENTATIONS; GEOMETRIC-PROPERTIES; PROPERTY;
D O I：
10.4064/sm202-3-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a locally compact group, G* be the set of all extreme points of the set of normalized continuous positive definite functions of G, and a(G) be the closed subalgebra generated by G* in B(G). When G is abelian, G* is the set of Dirac measures of the dual group (G) over cap, and a(G) can be identified as l(1)(G) over cap. We study the properties of a(G), particularly its spectrum and its dual von Neumann algebra.
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页码：289 / 302
页数：14
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