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arXiv · 0803.3244

Equivariant K-theory, groupoids and proper actions

Jose Cantarero
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Abstract

In this paper we define complex equivariant K-theory for actions of Lie groupoids using finite-dimensional vector bundles. For a Bredon-compatible Lie groupoid, this defines a periodic cohomology theory on the category of finite equivariant CW-complexes. We also establish an analogue of the completion theorem of Atiyah and Segal. Some examples are discussed.

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Jose Cantarero. 2012-09-06. Equivariant K-theory, groupoids and proper actions. https://doi.org/10.1017/is011011005jkt173

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