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SUMMARY:The K-theory of graded rings [MPIM]
DTSTART:20250618T143000Z
DTEND:20250618T153000Z
DTSTAMP:20260305T180500Z
UID:indico-event-468@math-events.uni-bonn.de
DESCRIPTION:Speakers: Luuk Stehouwer (Dalhousie University)\n\nAbstract Ho
 motopy Theory Seminar\nThe topological K-theory of Z/2-graded C*-algebras 
 plays an important role in operator theory. Historically\, finding the def
 inition was rather subtle\, for several reasons. For example\, simply taki
 ng the K-theory of a category of graded modules does not give the 'correct
 ' definition\, as I will explain. The definition of Z/2-graded C*-algebras
  by Karoubi is mostly outmoded because of Kasparov's KK-theory\, whose tec
 hnical definitions are more amenable to computations in index theory. The 
 aim of this talk is to revive Karoubi's version by explaining how it is a 
 natural higher-algebraic generalization of the classic Atiyah-Bott-Shapito
  paper on Clifford algebras. This approach also suggests a definition of K
 -theory for arbitrary Z/2-graded rings.\n\nhttps://math-events.uni-bonn.de
 /event/468/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/468/
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