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Characterization of compact quantum group
Authors:Ming Liu  Xia Zhang
Institution:School of Science, Tianjin Polytechnic University, Tianjin 300387, China
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 (  src= ,  src= ) is a compact Hopf *-algebra.
Keywords:Compact quantum group  associated multiplier Hopf^ *-algebra  compact Hopf ^*-algebra
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