Twisted Equivariant K-theory, Groupoids and Proper Actions

نویسنده

  • JOSE CANTARERO
چکیده

In this paper we define twisted equivariantK-theory for actions of Lie groupoids. For a Bredon-compatible Lie groupoid G, this defines a periodic cohomology theory on the category of finite G-CW-complexes with G-stable projective bundles. A classification of these bundles is shown. We also obtain a completion theorem and apply these results to proper actions of groups.

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تاریخ انتشار 2009