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SUMMARY:Atiyah-Bott-Shapiro for graded\, Real C*-algebras [Oberseminar Glo
 bal Analysis and Operator Algebras]
DTSTART:20260512T121500Z
DTEND:20260512T134500Z
DTSTAMP:20260514T231600Z
UID:indico-event-1321@math-events.uni-bonn.de
DESCRIPTION:Speakers: Anupam Datta (MI (Uni Bonn))\n\nClassically\, Atiyah
 -Bott-Shapiro (ABS) describe (Real) K-groups of a point in terms of certai
 n Clifford module quotients. It is plausible to ask what happens for a gen
 eral graded\, Real C*-algebra. We show that a version of the ABS isomorphi
 sm can be recovered in a homotopy theoretic sense : there will be a long e
 xact sequence connecting graded and ungraded K-theories. We deduce this as
  a consequence of recent higher categorical developments in KK-theory a' l
 a Bunke. In the process\, we clarify and generalise certain results of Ulr
 ich Haag on graded KK-theory. This is work in progress.\n\nhttps://math-ev
 ents.uni-bonn.de/event/1321/
LOCATION:Endenicher Allee 60/1-008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1321/
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