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SUMMARY:Equivariant KK-theory and model categories [Oberseminar Global Ana
 lysis and Operator Algebras]
DTSTART:20250107T131500Z
DTEND:20250107T141500Z
DTSTAMP:20260721T134100Z
UID:indico-event-161@math-events.uni-bonn.de
DESCRIPTION:Speakers: Anupam Datta (Uni Bonn)\n\nKK-theory can be seen as 
 a homotopy theory for C*-algebras. It is plausible to ask whether it can b
 e cast in the framework of abstract homotopy theory. In the non-equivarian
 t case\, Joachim-Johnson showed in 2007 that KK-groups are in fact the hom
 otopy groups of a stable model structure on pro-C*-algebras. I will discus
 s similar results in the equivariant case\, with a locally compact group a
 ction on the algebras involved. Some new techniques involving universal eq
 uivariant algebras were needed in the construction which would also be dis
 cussed. Lastly\, a comparison could be made to the more recent infinity ca
 tegorical equivariant KK-theory à la Bunke.\nThis is joint work with Mich
 ael Joachim.\n\nhttps://math-events.uni-bonn.de/event/161/
LOCATION:Seminarraum 0.008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/161/
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