Abstract
For a non-degenerate pair of compact quantum groups, we first construct the quantum double as an algebraic compact quantum group in an algebraic framework. Then by adopting some completion procedure, we give the universal and reduced quantum double constructions in the correspondence C*-algebraic settings, which generalize Drinfeld’s quantum double construction and yield new C*-algebraic compact quantum groups.
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The first author is supported by the scientific research fund for young teachers of Tianjin Polytechnic University (Grant No. 029960); the second author is supported by National Natural Science Foundation of China (Grant No. 11171015)
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Liu, M., Zhang, X. Quantum double constructions for compact quantum group. Acta. Math. Sin.-English Ser. 29, 2273–2282 (2013). https://doi.org/10.1007/s10114-013-2293-y
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DOI: https://doi.org/10.1007/s10114-013-2293-y