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- W2059748696 abstract "In this paper we associate to every reduced C * -algebraic quantum group (A, Δ) (as defined in [11]) a universal C * -algebraic quantum group (A u , Δ u ). 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 A u . We show that this C * -algebra A u 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." @default.
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- W2059748696 date "2001-05-01" @default.
- W2059748696 modified "2023-09-25" @default.
- W2059748696 title "LOCALLY COMPACT QUANTUM GROUPS IN THE UNIVERSAL SETTING" @default.
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- W2059748696 doi "https://doi.org/10.1142/s0129167x01000757" @default.
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