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
DOI:
https://doi.org/10.1090/S0002-9939-1974-0330926-3
MathSciNet review:
0330926
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown, that if is a LCA group and if
is a nondiscrete LCA group then there exists a proper closed subalgebra of the measure algebra of
(independent of the choice of
) in which the range of every homomorphism of the group algebra of
into the measure algebra of
is contained.
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P. Eymard, Homomorphismes des algèbres de groupe, Séminaire Bourbaki, 1961/62, n
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- [4] Jyunji Inoue, Some closed subalgebras of measure algebras and a generalization of P. J. Cohen’s theorem, J. Math. Soc. Japan 23 (1971), 278–294. MR 290038, https://doi.org/10.2969/jmsj/02320278
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0330926-3
Keywords:
Homomorphisms of group algebras,
measure algebras,
LCA groups,
range of homomorphisms
Article copyright:
© Copyright 1974
American Mathematical Society