|
This article is cited in 3 scientific papers (total in 3 papers)
Measurability of representations of locally compact groups
S. V. Lyudkovskii General Physics Institute named after A. M. Prokhorov, Russian Academy of Sciences
Abstract:
It is shown that a locally compact group is discrete if and only if all its irreducible unitary representations are weakly Haar-measurable. Furthermore, it is proved that an Abelian locally compact group is discrete if and only if all its characters are measurable. Similar results are obtained for complete Abelian groups and generalized loop groups.
Received: 02.07.1993
Citation:
S. V. Lyudkovskii, “Measurability of representations of locally compact groups”, Sb. Math., 186:2 (1995), 245–255
Linking options:
https://www.mathnet.ru/eng/sm14https://doi.org/10.1070/SM1995v186n02ABEH000014 https://www.mathnet.ru/eng/sm/v186/i2/p83
|
|