Finite-dimensional Hopf C*-bimodules and C*-pseudo-multiplicative unitaries

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dc.creatorTimmermann, Thomas
dc.date2007-11-09
dc.date.accessioned2026-07-07T08:41:52Z
dc.date.available2026-07-07T08:41:52Z
dc.descriptionFinite quantum groupoids can be described in many equivalent ways: In terms of the weak Hopf C*-algebras of Böhm, Nill, and Szlachányi or the finite-dimensional Hopf-von Neumann bimodules of Vallin, and in terms of finite-dimensional multiplicative partial isometries or the finite-dimensional pseudo-multiplicative unitaries of Vallin. In this short note, we show that in finite dimensions, the notions of a Hopf-von Neumann bimodule and of a pseudo-multiplicative unitary coincide with the notions of a concrete Hopf-C*-bimodule and of a C*-pseudo-multiplicative unitary, respectively.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0711.1420
dc.identifierhttp://arxiv.org/abs/0711.1420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141807
dc.subjectOperator Algebras
dc.subject46L55
dc.titleFinite-dimensional Hopf C*-bimodules and C*-pseudo-multiplicative unitaries
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