Document Zbl 0507.22006

A note on separating families of representations. (English) Zbl 0507.22006

Proc. Am. Math. Soc. 87, 95-98 (1983).

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MSC:

22D10	Unitary representations of locally compact groups
22D15	Group algebras of locally compact groups
43A65	Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis)
43A20	\(L^1\)-algebras on groups, semigroups, etc.

Keywords:

separating family; unitary

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References:

[1]	Siegfried Grosser and Martin Moskowitz, Harmonic analysis on central topological groups, Trans. Amer. Math. Soc. 156 (1971), 419 – 454. · Zbl 0222.43010
[2]	Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Die Grundlehren der mathematischen Wissenschaften, Band 152, Springer-Verlag, New York-Berlin, 1970. · Zbl 0830.43001
[3]	Ray A. Kunze, A note on square-integrable representations, J. Functional Analysis 6 (1970), 454 – 459. · Zbl 0204.44002
[4]	Charles E. Rickart, General theory of Banach algebras, The University Series in Higher Mathematics, D. van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. · Zbl 0095.09702
[5]	Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Springer-Verlag, New York-Heidelberg, 1972. Die Grundlehren der mathematischen Wissenschaften, Band 188. · Zbl 0265.22020

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