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- W4297755655 abstract "We further investigate the weak topology generated by the irreducible unitary representations of a group $G$. A deep result due to Ernest cite{Ernest1971} and Hughes cite{Hughes1973} asserts that every weakly compact subset of a locally compact (LC) group $G$ is compact in the LC-topology, generalizing thereby a previous result of Glicksberg cite{glicks1962} for abelian locally compact (LCA) groups. Here, we first survey some recent findings on the weak topology and establish some new results about the preservation of several compact-like properties when going from the weak topology to the original topology of LC groups. Among others, we deal with the preservation of countably compactness, pseudocompactness and functional boundedness." @default.
- W4297755655 created "2022-10-01" @default.
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- W4297755655 date "2021-02-24" @default.
- W4297755655 modified "2023-10-16" @default.
- W4297755655 title "The weak compactification of locally compact groups" @default.
- W4297755655 doi "https://doi.org/10.48550/arxiv.2102.12207" @default.
- W4297755655 hasPublicationYear "2021" @default.
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