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SUMMARY:Joeri De Ro (Vrije Universiteit Brussel\, Belgium)
DTSTART:20230606T140000Z
DTEND:20230606T150000Z
DTSTAMP:20260422T175649Z
UID:QGS/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/100/">Ac
 tions of compact and discrete quantum groups on operator systems</a>\nby J
 oeri De Ro (Vrije Universiteit Brussel\, Belgium) as part of Quantum Group
 s Seminar [QGS]\n\n\nAbstract\nWe introduce the notion of an action of a d
 iscrete or compact quantum group on an operator system\, and study equivar
 iant operator system injectivity. Given an action of a discrete quantum gr
 oup on an operator system X\, we introduce associated crossed products\, a
 nd we prove that equivariant injectivity of the operator system X is equiv
 alent with dual equivariant injectivity of the associated crossed products
 . As an application of this result\, we prove a duality result for equivar
 iant injective envelopes. This is joint work with Lucas Hataishi.\n
LOCATION:https://researchseminars.org/talk/QGS/100/
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