Equivariant representable K-theory
K-Theory and Homology
2015-10-23 v2
Abstract
We interpret certain equivariant Kasparov groups as equivariant representable K-theory groups. We compute these groups via a classifying space and as K-theory groups of suitable sigma-C*-algebras. We also relate equivariant vector bundles to these sigma-C*-algebras and provide sufficient conditions for equivariant vector bundles to generate representable K-theory. Mostly we work in the generality of locally compact groupoids with Haar system.
Cite
@article{arxiv.0710.1410,
title = {Equivariant representable K-theory},
author = {Heath Emerson and Ralf Meyer},
journal= {arXiv preprint arXiv:0710.1410},
year = {2015}
}
Comments
Final version. Only minor corrections. 33 pages