Cyclicity of the left regular representation of a locally compact group
classification
🧮 math.OA
math.FA
keywords
groupcompactfirstleftlocallyregularrepresentationalgebraic
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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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