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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Sigma-amenable locally compact groups


Author: J. W. Jenkins
Journal: Proc. Amer. Math. Soc. 28 (1971), 621-626
MSC: Primary 22.20
DOI: https://doi.org/10.1090/S0002-9939-1971-0279230-X
MathSciNet review: 0279230
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Abstract: Let $ G$ denote a locally compact group and $ \sigma (G)$ the semigroup of nonempty compact subsets of $ G$. The combinatorial properties of the family of all groups $ G$ for which $ \sigma (G)$ is amenable is studied. The relationship between amenability of $ G$ and amenability of $ \sigma (G)$ is also investigated.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0279230-X
Keywords: Amenable semigroups, semigroup of compact subsets, $ \sigma $-amenable groups, free subsemigroups, free product, disjoint right ideals
Article copyright: © Copyright 1971 American Mathematical Society