Characterization of compact quantum group

Ming LIU; Xia ZHANG

doi:10.1007/s11464-014-0352-z

Front. Math. China ›› 2014, Vol. 9 ›› Issue (2) :321 -328. DOI: 10.1007/s11464-014-0352-z

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Characterization of compact quantum group

Ming LIU ^*
, Xia ZHANG

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Abstract

Given a C^*-algebra A and a comultiplication Φ on A, we show that the pair (A,Φ) is a compact quantum group if and only if the associated multiplier Hopf *-algebra ( $A$ , $Φ A$ ) is a compact Hopf *-algebra.

Keywords

Compact quantum group / associated multiplier Hopf *-algebra / compact Hopf *-algebra

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Ming LIU, Xia ZHANG. Characterization of compact quantum group. Front. Math. China, 2014, 9(2): 321-328 DOI:10.1007/s11464-014-0352-z

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