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SUMMARY:Weak Morita equivalence of compact quantum groups - Makoto Yamashi
 ta (Ochanomizu University )
DTSTART:20170316T140000Z
DTEND:20170316T150000Z
UID:TALK71471@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Motivated by the 2-categorical interpretation of constructs in
  subfactor theory\, M&uuml\;ger introduced the notion of weak Morita equiv
 alence for tensor categories. This relation roughly says that the tensor c
 ategories have the same quantum double\, or the same "representation theor
 y". We give a characterization of this equivalence relation for representa
 tion categories of compact quantum groups in terms of certain commuting ac
 tions. This extends a similar characterization of monoidal equivalence due
  to Schauenburg and Bichon-De Rijdt-Vaes. Based on joint work with Sergey 
 Neshveyev.<br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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