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SUMMARY:Shintaro Nishikawa (University of Münster\, Germany)
DTSTART:20210920T140000Z
DTEND:20210920T150000Z
DTSTAMP:20260422T180437Z
UID:QGS/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/34/">Cro
 ssed products of representable localization algebras</a>\nby Shintaro Nish
 ikawa (University of Münster\, Germany) as part of Quantum Groups Seminar
  [QGS]\n\n\nAbstract\nLet X be a locally compact\, Hausdorff space. The re
 presentable localization algebra for X was introduced and studied by Wille
 tt and Yu. The K-theory of the algebra serves as the representable K-homol
 ogy of the space X.\n\nNow let G be a second countable\, locally compact g
 roup and suppose that X is a proper G-space. It turns out that the K-theor
 y of the crossed product by G of the representable localization algebra fo
 r X serves as the representable G-equivariant K-homology of the proper G-s
 pace X.\n\nThe goal of this talk is to describe these facts and roles of t
 he representable localization algebras in the study of the Baum--Connes co
 njecture.\n
LOCATION:https://researchseminars.org/talk/QGS/34/
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