Twisted equivariant K-theory, groupoids and proper actions
Algebraic Topology
2011-05-18 v1 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.0902.0659,
title = {Twisted equivariant K-theory, groupoids and proper actions},
author = {Jose Cantarero},
journal= {arXiv preprint arXiv:0902.0659},
year = {2011}
}
Comments
26 pages