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Equivariant K-theory, groupoids and proper actions

Published online by Cambridge University Press:  21 November 2011

Jose Cantarero
Jose Cantarero
Affiliation:
Department of Mathematics, Stanford University, Stanford, California 94305USA. cantarer@stanford.edu
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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 -CW-complexes. We also establish an analogue of the completion theorem of Atiyah and Segal. Some examples are discussed.

Keywords

K-theorygroupoidsproper actionscompletion theorem

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Type
Research Article
Information
Journal of K-Theory , Volume 9 , Issue 3 , June 2012 , pp. 475 - 501
Copyright
Copyright © ISOPP 2011

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