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SUMMARY:Ulrich Bunke (Universität Regensburg)
DTSTART:20230524T190000Z
DTEND:20230524T200000Z
DTSTAMP:20260420T053057Z
UID:NYC-NCG/132
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/132/
 ">A homotopical view on $K$ and $KK$-theory for $C^{*}$-algebras</a>\nby U
 lrich Bunke (Universität Regensburg) as part of Noncommutative geometry i
 n NYC\n\n\nAbstract\nThe goal of this talk is to motivate the consideratio
 n of spectrum-valued K-theory for $C^{*}$-algebras. To this end I will dis
 cuss some examples where the spectrum-valued functor  helps to simplify  c
 lassical statements and their justification. I will then explain how to co
 nstruct a spectrum-valued $K$-theory functor  using a homotopical refineme
 nt of KK-theory. Accepting the language of $\\infty$-categories\, the latt
 er can be obtained in a straightforward way   by forcing the desired unive
 rsal  properties.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/132/
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