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.