Journal of Noncommutative Geometry

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Volume 10, Issue 3, 2016, pp. 859–888
DOI: 10.4171/JNCG/250

Quantum group-twisted tensor products of C*-algebras. II

Ralf Meyer[1], Sutanu Roy[2] and Stanisław Lech Woronowicz[3]

(1) Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstraße 3–5, 37073, Göttingen, Germany
(2) Mathematisches Institut, Georg-August-Universität Göttingen , Bunsenstraße 3-5, 37073, Göttingen, Germany
(3) Department of Mathematical Methods in Physics, University of Warsaw, Pasteura 5, 02-093, Warsaw, Poland

For a quasitriangular C*-quantum group, we enrich the twisted tensor product constructed in the first part of this series to a monoidal structure on the category of its continuous coactions on C*-algebras. We define braided C*-quantum groups, where the comultiplication takes values in a twisted tensor product. We show that compact braided C*-quantum groups yield compact quantum groups by a semidirect product construction.

Keywords: C*-quantum group, braiding, quantum codouble, semidirect product, bosonisation

Meyer Ralf, Roy Sutanu, Woronowicz Stanisław Lech: Quantum group-twisted tensor products of C*-algebras. II. J. Noncommut. Geom. 10 (2016), 859-888. doi: 10.4171/JNCG/250