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The reduced dual of a direct product of groups

Published online by Cambridge University Press:  24 October 2008

Aubrey Wulfsohn
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Abstract

If one of the locally compact groups H and K is of type I, the reduced dual of their product is shown to be homeomorphic to the product of the reduced duals.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 1 , January 1966 , pp. 5 - 6
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Dixmier, J.Points isolés dans le dual d'un groupe localement compact. Bull. Sci. Math. 85 (1961), 91–96.Google Scholar
(2)Fell, J. M. G.The dual spaces of C*-algebras. Trans. Amer. Math. Soc. 94 (1960), 365–403.Google Scholar
(3)Guichardet, A.Caractères et représentations des produits tensoriels de C*-algèbres. Ann. Sci. École. Norm. Sup. 81 (1964), 189–206.CrossRefGoogle Scholar
(4)Takenouchi, O.Sur une classe de fonctions continues de type positif sur un groupe localement compact. Math. J. Okayama Univ. 4 (1954), 143–173.Google Scholar
(5)Wulfsohn, A.Produit tensoriel de C*-algèbres. Bull. Sci. Math. 87 (1963), 13–27.Google Scholar