Twisted equivariant K-theory, groupoids and proper actions

Details Twisted equivariant K-theory, groupoids and proper actions Twisted equivariant K-theory, groupoids and proper actions

2009-02-04

arxiv.org/abs/0902.0659v1

Mathematische Zeitschrift, Volume 268, Issue 1 (2011), 559-583

Mathematics

Algebraic Topology

26 pages

Scientific paper

10.1007/s00209-010-0683-8

In this paper we define twisted equivariant K-theory for actions of Lie groupoids. For a Bredon-compatible Lie groupoid, this defines a periodic cohomology theory on the category of finite CW-complexes with equivariant 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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