On the range of a homomorphism of a group algebra into a measure algebra

Inoue, Jyunji

doi:10.1090/S0002-9939-1974-0330926-3

On the range of a homomorphism of a group algebra into a measure algebra
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Proc. Amer. Math. Soc. 43 (1974), 94-98 Request permission

Abstract:

It is shown, that if $G$ is a LCA group and if $H$ is a nondiscrete LCA group then there exists a proper closed subalgebra of the measure algebra of $H$ (independent of the choice of $G$) in which the range of every homomorphism of the group algebra of $G$ into the measure algebra of $H$ is contained.

References

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Homomorphismes des algèbres de groupe

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