CYCLICITY OF THE LEFT REGULAR REPRESENTATION OF A LOCALLY COMPACT GROUP

被引：0
|
作者：
Tanko, Zsolt [1 ]
机构：
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2018年 / 48卷 / 03期
关键词：
Left regular representation; group von Neumann algebra; Fourier algebra; VECTORS;
D O I：
10.1216/RMJ-2018-48-3-1015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We combine harmonic analysis and operator algebraic techniques to give a concise argument that the left regular representation of a locally compact group is cyclic if and only if the group is first countable, a result first proved by Greenleaf and Moskowitz.
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页码：1015 / 1018
页数：4
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