Equivariant K-theory, groupoids and proper actions
Algebraic Topology
2012-09-10 v3 K-Theory and Homology
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.
Cite
@article{arxiv.0803.3244,
title = {Equivariant K-theory, groupoids and proper actions},
author = {Jose Cantarero},
journal= {arXiv preprint arXiv:0803.3244},
year = {2012}
}
Comments
26 pages, v3 Correction to some lemmas and definitions in section 4. Added a page at the end of section 3. Other minor corrections