DOUBLE CROSSED PRODUCTS OF LOCALLY COMPACT QUANTUM GROUPS
2005 ◽
Vol 4
(1)
◽
pp. 135-173
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Keyword(s):
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 the modular theory and the $\mathrm{C}^*$-algebraic properties of these double crossed products, as well as 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. AMS 2000 Mathematics subject classification: Primary 46L89. Secondary 46L65
2013 ◽
Vol 65
(5)
◽
pp. 1073-1094
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2016 ◽
Vol 68
(2)
◽
pp. 309-333
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2003 ◽
Vol 14
(08)
◽
pp. 865-884
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2014 ◽
Vol 57
(3)
◽
pp. 546-550
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2015 ◽
Vol 26
(03)
◽
pp. 1550024
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2017 ◽
Vol 69
(5)
◽
pp. 1064-1086
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2016 ◽
Vol 2016
(711)
◽
2017 ◽
Vol 60
(1)
◽
pp. 122-130
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2013 ◽
Vol 24
(07)
◽
pp. 1350058
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