From Hopf C*-families to concrete Hopf C*-bimodules

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dc.creatorTimmermann, Thomas
dc.date2007-12-21
dc.date.accessioned2026-07-07T08:50:52Z
dc.date.available2026-07-07T08:50:52Z
dc.descriptionIn the setting of von Neumann algebras, measurable quantum groupoids have successfully been axiomatized and studied by Enock, Vallin, and Lesieur, whereas in the setting of $C^{*}$-algebras, a similar theory of locally compact quantum groupoids could not yet be developed. Some basic building blocks for such a theory, like analogues of a Hopf-von Neumann bimodule and of a pseudo-multiplicative unitary, were introduced in the thesis and a recent article by the author. That approach, however, is restricted to decomposable quantum groupoids which generalize $r$-discrete groupoids. Recently, we developed a general approach that covers all locally compact groupoids. In this article, we explain how the special theory of our thesis embeds into the general one.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0712.3695
dc.identifierhttp://arxiv.org/abs/0712.3695
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144747
dc.subjectOperator Algebras
dc.subject46L55
dc.titleFrom Hopf C*-families to concrete Hopf C*-bimodules
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