A criterion for a topological group to admit a continuous embedding in a locally compact group
Identifieur interne : 000881 ( Main/Exploration ); précédent : 000880; suivant : 000882A criterion for a topological group to admit a continuous embedding in a locally compact group
Auteurs : A. I. Shtern [Russie]Source :
- Russian Journal of Mathematical Physics [ 1061-9208 ] ; 2008-06-01.
Abstract
Abstract: It is proved that a topological group admits a continuous embedding in a locally compact group if and only if the group in question admits a separating family of unitary representations defining a symmetric Hopf-von Neumann algebra whose intrinsic group coincides with the set of nonzero characters of the predual algebra.
Url:
DOI: 10.1134/S1061920808020131
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