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.

引用

页码：1015 / 1018

页数：4

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