A characterization of maximally almost periodic groups
Author:
Ter Jenq Huang
Journal:
Proc. Amer. Math. Soc. 75 (1979), 59-62
MSC:
Primary 22A05; Secondary 43A60
DOI:
https://doi.org/10.1090/S0002-9939-1979-0529213-4
MathSciNet review:
529213
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Abstract: It is proved that a topological group G is maximally almost periodic if and only if G admits an action on a compact Hausdorff space X such that the transformation group
is equicontinuous and effective. Using this characterization, it is proved that if H is a closed uniform subgroup of a topological group G, then G is maximally almost periodic if and only if H is maximally almost periodic. The latter gives as corollaries the results of Kuranishi, Murakami, Grosser and Moskowitz concerning maximally almost periodic groups.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1979-0529213-4
Keywords:
Maximally almost periodic group,
equicontinuous transformation group,
central topological group
Article copyright:
© Copyright 1979
American Mathematical Society