Amenable subsemigroups of a locally compact group
Author:
Joe W. Jenkins
Journal:
Proc. Amer. Math. Soc. 25 (1970), 766-770
MSC:
Primary 22.05; Secondary 22.20
DOI:
https://doi.org/10.1090/S0002-9939-1970-0263967-1
MathSciNet review:
0263967
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Abstract | References | Similar Articles | Additional Information
Abstract: Let $G$ be an amenable locally compact group and $S$ an open subsemigroup of $G$. It is shown that $S$ is amenable if, and only if, the right ideals of $S$ have the finite intersection property.
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Additional Information
Keywords:
Amenable semigroup,
left uniformly continuous functions,
Arens product,
left invariant means,
semigroup kernel
Article copyright:
© Copyright 1970
American Mathematical Society