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Double crossed products of locally compact quantum groups

Saad Baaj·Stefaan Vaes
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Abstract

For 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.

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Saad Baaj, Stefaan Vaes. 2002-11-08. Double crossed products of locally compact quantum groups. https://doi.org/10.1017/s1474748005000034

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