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Proceedings of the American Mathematical Society

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

 

 

Nets of subgroups and amenability


Author: I. Schochetman
Journal: Proc. Amer. Math. Soc. 29 (1971), 397-403
MSC: Primary 22.20
MathSciNet review: 0281837
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Abstract: We first investigate some convergence properties of nets in the topological space of closed subgroups of a locally compact group. We then use these properties to answer some questions concerning the amenable subgroups.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0281837-0
Keywords: Locally compact group, space of closed subgroups, net of subgroups, amenable group, weak containment, subgroup representation, induced representation
Article copyright: © Copyright 1971 American Mathematical Society