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Characterization of compact quantum group

Characterization of compact quantum group
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摘要 Given a C^＊-algebra A and a comultiplication Ф on A, we show that the pair （A, Ф） is a compact quantum group if and only if the associated multiplier Hopf ^＊-algebra （A, ФA） is a compact Hopf ^＊-algebra. Given a C^＊-algebra A and a comultiplication Ф on A, we show that the pair （A, Ф） is a compact quantum group if and only if the associated multiplier Hopf ^＊-algebra （A, ФA） is a compact Hopf ^＊-algebra.
作者 Ming LIU Xia ZHANG
机构地区 School of Science
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2014年第2期321-328,共8页 中国高等学校学术文摘·数学（英文）
基金 Acknowledgements The authors would like to thank the referees for their many invaluable suggestions. This work was supported by the Higher School Science and Technology Development Fund Project in Tianjin （Grant No. 20031003） and the National Natural Science Foundation of China （Grant No. 11301380）.
关键词 Compact quantum group associated multiplier Hopf^ ＊-algebra compact Hopf ^＊-algebra Compact quantum group, associated multiplier Hopf^ ＊-algebra, compact Hopf ^＊-algebra
分类号 O152.5 [理学—基础数学] G633.62 [文化科学—教育学]
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Frontiers of Mathematics in China
2014年 第2期

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