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SUMMARY:Ulrich Bunke (University of Regensburg)
DTSTART:20200804T123000Z
DTEND:20200804T133000Z
DTSTAMP:20260422T151919Z
UID:GoeTop/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GoeTop/10/">
 Spectrum-valued $\\mathrm{KK}^G$\, Paschke duality and assembly maps</a>\n
 by Ulrich Bunke (University of Regensburg) as part of Göttingen topology 
 and geometry seminar\n\n\nAbstract\nI will explain a version of Paschke-du
 ality which connects the usual equivariant analytic $\\mathrm{K}$-homology
  theory with the equivariant $\\mathrm{K}$-homology theory derived from eq
 uivariant coarse $\\mathrm{K}$-homology. The Davis-Lück assembly map can 
 be expressed through the coarse homology theory. Using  Paschke duality we
  identify it with the classical version of the Baum-Connes assembly map vi
 a descent and Kasparov’s projection. All this will be phrased using a sp
 ectrum-valued $\\mathrm{KK}^G$-theory\, and we allow coefficients in $\\ma
 thrm{C}^\\ast$-categories with $G$-action.\n
LOCATION:https://researchseminars.org/talk/GoeTop/10/
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