LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING
2001 ◽
Vol 12
(03)
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pp. 289-338
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Keyword(s):
Group A
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In this paper we associate to every reduced C *-algebraic quantum group (A, Δ) (as defined in [11]) a universal C *-algebraic quantum group (Au, Δu). We fine tune a proof of Kirchberg to show that every *-representation of a modified L 1-space is generated by a unitary corepresentation. By taking the universal enveloping C *-algebra of a dense sub *-algebra of A we arrive at the C *-algebra Au. We show that this C *-algebra Au carries a quantum group structure which is a rich as its reduced companion. We also establish a bijective correspondence between quantum group morphisms and certain co-actions.
2013 ◽
Vol 65
(5)
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pp. 1073-1094
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2005 ◽
Vol 4
(1)
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pp. 135-173
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2016 ◽
Vol 68
(2)
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pp. 309-333
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2003 ◽
Vol 14
(08)
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pp. 865-884
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2014 ◽
Vol 57
(3)
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pp. 546-550
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2015 ◽
Vol 26
(03)
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pp. 1550024
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2017 ◽
Vol 69
(5)
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pp. 1064-1086
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2013 ◽
Vol 24
(03)
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pp. 1350023
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2016 ◽
Vol 2016
(711)
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