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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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
