Transitive actions of locally compact groups on locally contractible spaces

Suppose that = is the quotient of a locally compact group by a closed subgroup. If is locally contractible and connected, we prove that is a manifold. If the -action is faithful, then is a Lie group.

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Bibliographic Details
Published in:Journal für die reine und angewandte Mathematik 2015-05, Vol.2015 (702), p.227-243
Main Authors: Hofmann, Karl H., Kramer, Linus
Format: Article
Language:English
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Summary:Suppose that = is the quotient of a locally compact group by a closed subgroup. If is locally contractible and connected, we prove that is a manifold. If the -action is faithful, then is a Lie group.
ISSN:0075-4102
1435-5345
DOI:10.1515/crelle-2013-0036