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SUMMARY:Jacek Krajczok (IMPAN\, Warsaw)
DTSTART:20210426T140000Z
DTEND:20210426T150000Z
DTSTAMP:20260423T052759Z
UID:GOBA/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOBA/25/">On
  the von Neumann algebra of class functions on a compact quantum group</a>
 \nby Jacek Krajczok (IMPAN\, Warsaw) as part of Groups\, Operators\, and B
 anach Algebras Webinar\n\n\nAbstract\nA famous result of Pytlik states tha
 t the radial subalgebra in the group von Neumann algebra of a free group o
 n n>=2 generators is maximal abelian (MASA). One can study an analogue of 
 this subalgebra - the von Neumann algebra generated by characters - in a m
 ore general context of discrete quantum groups. By a result of Freslon and
  Vergnioux\, it is known that this algebra is MASA for the discrete quantu
 m group dual to the Kac-type orthogonal quantum group. I will show that th
 e situation is quite different when our compact quantum group is not of Ka
 c type (equivalently\, the discrete dual is non-unimodular). The crucial n
 otion for our work is that of quasi-split inclusions.\nThis is a joint wor
 k with Mateusz Wasilewski.\n
LOCATION:https://researchseminars.org/talk/GOBA/25/
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