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

Author: Jyunji Inoue
Journal: Proc. Amer. Math. Soc. 43 (1974), 94-98
MSC: Primary 43A22
MathSciNet review: 0330926
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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.

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Keywords: Homomorphisms of group algebras, measure algebras, LCA groups, range of homomorphisms
Article copyright: © Copyright 1974 American Mathematical Society

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