COMPLETELY POSITIVE MULTIPLIERS OF QUANTUM GROUPS
2012 ◽
Vol 23
(12)
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pp. 1250132
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Keyword(s):
We show that any completely positive multiplier of the convolution algebra of the dual of an operator algebraic quantum group 𝔾 (either a locally compact quantum group, or a quantum group coming from a modular or manageable multiplicative unitary) is induced in a canonical fashion by a unitary corepresentation of 𝔾. It follows that there is an order bijection between the completely positive multipliers of L1(𝔾) and the positive functionals on the universal quantum group [Formula: see text]. We provide a direct link between the Junge, Neufang, Ruan representation result and the representing element of a multiplier, and use this to show that their representation map is always weak*–weak*-continuous.
2016 ◽
Vol 68
(2)
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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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2020 ◽
Vol 56
(1)
◽
pp. 33-53
2003 ◽
Vol 233
(2)
◽
pp. 231-296
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2001 ◽
Vol 180
(2)
◽
pp. 426-480
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Keyword(s):
2008 ◽
Vol 60
(4)
◽
pp. 648-662
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