A Stone-Weierstrass theorem for group representations

It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable type I locally compact group G as follows: le...

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Bibliographic Details
Main Author: Joe Repka
Format: Article
Language:English
Published: Hindawi Limited 1978-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171278000277