Extension problems and non-abelian duality for $C^*$-algebras

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dc.creatorHuef, Astrid an
dc.creatorKaliszewski, S.
dc.creatorRaeburn, Iain
dc.date2003-12-15
dc.date2006-11-09
dc.date.accessioned2026-07-07T06:35:51Z
dc.date.available2026-07-07T06:35:51Z
dc.descriptionSuppose that $H$ is a closed subgroup of a locally compact group $G$. We show that a unitary representation $U$ of $H$ is the restriction of a unitary representation of $G$ if and only if a dual representation $\hat U$ of a crossed product $C^*(G)\rtimes (G/H)$ is regular in an appropriate sense. We then discuss the problem of deciding whether a given representation is regular; we believe that this problem will prove to be an interesting test question in non-abelian duality for crossed products of $C^*$-algebras.
dc.descriptionSubstantial changes from the previous version
dc.identifierhttps://arxiv.org/abs/math/0312283
dc.identifierhttp://arxiv.org/abs/math/0312283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99923
dc.subjectOperator Algebras
dc.subjectRepresentation Theory
dc.subject46L05, 46L55
dc.titleExtension problems and non-abelian duality for $C^*$-algebras
dc.typetext

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