# $B4X@>:nMQAG4D%;%_%J!<(B ## Kansai Operator Algebra Seminar $BF|;~!'(B2016$BG/(B12$B7n(B10$BF|(B($BEZ(B)

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 14:30$B!A(B15:30 Sergey Neshveyev University of Oslo Graded twisting abstract : Graded twisting is a simple construction allowing one to construct a new compact quantum group/Hopf algebra (as well as a coaction) from a given compact quantum group (and a coaction). The difference from the well-known twisting by a cocycle is that it can change the representation category, but in a very controlled way. One of the motivating examples is the relation between the quantum SU(2) groups at opposite values of the parameter. In my talk I'll explain the construction and give some examples and applications. (Based on joint work with Makoto Yamashita and Julien Bichon.) 15:45$B!A(B16:45 $B;32<(B $B??(B $B!!(B $B$*Cc$N?e=w;RBg3X(B Drinfeld center, tube algebra, and representation theory for monoidal categories abstract : Motivated by recent progress on the approximation properties of quantum groups, we study harmonic analytic aspects of monoidal categories based on the notion of Drinfeld center of ind-objects for rigid C*- tensor categories. The induced unitary representations of the fusion algebra turns out to be the same as the admissible representations considered in a parallel work by Popa and Vaes, and provides a 'global' viewpoint on the connection of approximation properties of quantum groups and of subfactors. We also look at the weak Morita equivalence and the corresponding equivalence of Drinfeld centers, motivated by Schauenburg's work. This suggests a general method to obtain permanence of harmonic analytic properties under such equivalence. Based on joint works with S. Neshveyev. 17:30$B!A(B19:30 $B:)?F2q(B $B!!(B $BA49q$NF|K\ $B;22CJm(B(2016/12/07$B99?7(B) 1. Sergey Neshveyev 2. $B;32<(B $B??(B 3. Sara Malacarne 4. Benoit Collins 5. $BD9ED(B $B$^$j$q(B
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