English

Cyclicity of the left regular representation of a locally compact group

Operator Algebras 2016-09-16 v2 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1606.05284,
  title  = {Cyclicity of the left regular representation of a locally compact group},
  author = {Zsolt Tanko},
  journal= {arXiv preprint arXiv:1606.05284},
  year   = {2016}
}

Comments

3 pages. Minor corrections made and one reference added