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arxiv: funct-an/9704006 · v1 · submitted 1997-04-22 · funct-an · math.OA· math.QA· q-alg

Universal C*-algebraic quantum groups arising from algebraic quantum groups

classification funct-an math.OAmath.QAq-alg
keywords algebraicquantumuniversalgroupgroupsarisingcompanionconstruct
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In this paper, we construct a universal C*-algebraic quantum group out of an algebraic one. We show that this universal C*-algebraic quantum group has the same rich structure as its reduced companion. This universal C*-algebraic quantum group also satifies an upcoming definition of Masuda, Nakagami & Woronowicz except for the possible non-faithfulness of the left Haar weight.

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