Open Access
2018 Cyclicity of the left regular representation of a locally compact group
Zsolt Tanko
Rocky Mountain J. Math. 48(3): 1015-1018 (2018). DOI: 10.1216/RMJ-2018-48-3-1015

Abstract

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.

Citation

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Zsolt Tanko. "Cyclicity of the left regular representation of a locally compact group." Rocky Mountain J. Math. 48 (3) 1015 - 1018, 2018. https://doi.org/10.1216/RMJ-2018-48-3-1015

Information

Published: 2018
First available in Project Euclid: 2 August 2018

zbMATH: 06917360
MathSciNet: MR3835584
Digital Object Identifier: 10.1216/RMJ-2018-48-3-1015

Subjects:
Primary: 22D10
Secondary: 22D25

Keywords: Fourier algebra , group von Neumann algebra , Left regular representation

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

Vol.48 • No. 3 • 2018
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