A note on separating families of representations
Author:
Bruce A. Barnes
Journal:
Proc. Amer. Math. Soc. 87 (1983), 95-98
MSC:
Primary 22D10; Secondary 43A65
DOI:
https://doi.org/10.1090/S0002-9939-1983-0677240-X
MathSciNet review:
677240
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Abstract | References | Similar Articles | Additional Information
Abstract: Conditions are given that imply that a separating family of unitary representations of a locally compact group 
lifts to a separating family of 
-representations of 
.
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- [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. MR 0262773
- [3] Ray A. Kunze, A note on square-integrable representations, J. Functional Analysis 6 (1970), 454–459. MR 0271749, https://doi.org/10.1016/0022-1236(70)90072-8
- [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. MR 0115101
- [5] Garth Warner, Harmonic analysis on semi-simple Lie groups. I, Springer-Verlag, New York-Heidelberg, 1972. Die Grundlehren der mathematischen Wissenschaften, Band 188. MR 0498999
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0677240-X
Keywords:
Separating family of representations
Article copyright:
© Copyright 1983
American Mathematical Society
