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SUMMARY:Keshab Bakshi (IIT Kanpur\, India)
DTSTART:20260330T140000Z
DTEND:20260330T150000Z
DTSTAMP:20260422T181345Z
UID:QGS/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/141/">We
 ak quantum hypergroups from finite index $C^*$-inclusions</a>\nby Keshab B
 akshi (IIT Kanpur\, India) as part of Quantum Groups Seminar [QGS]\n\n\nAb
 stract\nWe study finite index inclusions $B \\subset A$ of simple unital $
 C^*$-algebras and investigate the quantum symmetries arising from their re
 lative commutants. Using the convolution structure on higher relative comm
 utants\, we construct a canonical completely positive coproduct on the sec
 ond relative commutant $B^{\\prime} \\cap A_1$\, which gives it a natural 
 coalgebra structure. This leads to the notion of a weak quantum hypergroup
 . We show that such a structure arises canonically from any finite index i
 nclusion. In the irreducible case it becomes a quantum hypergroup\, while 
 in the depth $2$ case it recovers the weak Hopf algebra associated with th
 e inclusion. This is a joint work with  Debashish Goswami and Biplab Pal\
 n
LOCATION:https://researchseminars.org/talk/QGS/141/
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