Equivariant K-theory, Groupoids and Proper Actions
نویسنده
چکیده
In this paper we define complex 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. A suitable groupoid allows us to define complex equivariant K-theory for proper actions of non-compact Lie groups, which is a natural extension of the theory defined in [24]. For the particular case of proper actions of loop groups, some calculations are provided. We also establish an analogue of the completion theorem of Atiyah and Segal.
منابع مشابه
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