Amenability and co-amenability of algebraic quantum groups

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dc.creatorBedos, E.
dc.creatorMurphy, G. J.
dc.creatorTuset, L.
dc.date2001-11-02
dc.date2002-03-04
dc.date.accessioned2026-07-07T04:44:13Z
dc.date.available2026-07-07T04:44:13Z
dc.descriptionWe define concepts of amenability and co-amenability for algebraic quantum groups in the sense of A. Van Daele. We show that co-amenability of an algebraic quantum group always implies amenability of its dual. Various necessary and/or sufficient conditions for amenability or co-amenability are obtained. Co-amenability is shown to have interesting consequences for the modular theory in the case that the algebraic quantum group is of compact type.
dc.description25 pages, with some minor corrections, as to appear in the IJMMS
dc.identifierhttps://arxiv.org/abs/math/0111025
dc.identifierhttp://arxiv.org/abs/math/0111025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62550
dc.subjectOperator Algebras
dc.subject46L05, 46L65, 22D25
dc.titleAmenability and co-amenability of algebraic quantum groups
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