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Weak Morita equivalence of compact quantum groups

Presented by: 
Makoto Yamashita Ochanomizu University
Thursday 16th March 2017 - 14:00 to 15:00
INI Seminar Room 2
Motivated by the 2-categorical interpretation of constructs in subfactor theory, Müger introduced the notion of weak Morita equivalence for tensor categories. This relation roughly says that the tensor categories have the same quantum double, or the same "representation theory". We give a characterization of this equivalence relation for representation categories of compact quantum groups in terms of certain commuting actions. This extends a similar characterization of monoidal equivalence due to Schauenburg and Bichon-De Rijdt-Vaes. Based on joint work with Sergey Neshveyev.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons