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SUMMARY:Kan Kitamura (University of Tokyo\, Japan)
DTSTART:20221220T150000Z
DTEND:20221220T160000Z
DTSTAMP:20260422T175259Z
UID:QGS/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/77/">Par
 tial Pontryagin duality for actions of quantum groups on C*-algebras</a>\n
 by Kan Kitamura (University of Tokyo\, Japan) as part of Quantum Groups Se
 minar [QGS]\n\n\nAbstract\nWe compare actions on C*-algebras of two constr
 uctions of locally compact quantum groups\, the bicrossed product due to V
 aes-Vainerman and the double crossed product due to Baaj-Vaes. We give a o
 ne-to-one correspondence between them up to Morita equivalence\, in the sa
 me spirit as Takesaki-Takai and Baaj-Skandalis dualities. This includes a 
 duality between a quantum double and the product of the original quantum g
 roup with its opposite. We will explain its consequences for equivariant K
 asparov theory in relation to the quantum analog of the Baum-Connes conjec
 ture.\n
LOCATION:https://researchseminars.org/talk/QGS/77/
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