Double crossed products of locally compact quantum groups

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dc.creatorBaaj, Saad
dc.creatorVaes, Stefaan
dc.date2002-11-08
dc.date.accessioned2026-07-07T04:52:47Z
dc.date.available2026-07-07T04:52:47Z
dc.descriptionFor a matched pair of locally compact quantum groups, we construct the double crossed product as a locally compact quantum group. This construction generalizes Drinfeld's quantum double construction. We study C*-algebraic properties of these double crossed products and several links between double crossed products and bicrossed products. In an appendix, we study the Radon-Nikodym derivative of a weight under a quantum group action, following Yamanouchi and obtain, as a corollary, a new characterization of closed quantum subgroups.
dc.description29 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0211145
dc.identifierhttp://arxiv.org/abs/math/0211145
dc.identifierJournal of the Institute of Mathematics of Jussieu 4 (2005), 135--173.
dc.identifierdoi:10.1017/S1474748005000034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65599
dc.subjectOperator Algebras
dc.subjectQuantum Algebra
dc.titleDouble crossed products of locally compact quantum groups
dc.typetext

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