The rational HK-conjecture: transformation groupoids and a revised version
K-Theory and Homology
2024-02-13 v1 Operator Algebras
Abstract
We prove the rational HK-conjecture for a large class of transformation groupoids in the case when the relevant action has torsion-free stabilizers. A revised version of the rational HK-conjecture in the case of (possibly) torsion stabilizers is introduced and proved for a large class of transformation groupoids. In particular, this revised version holds for Scarparo's counterexamples to the original rational HK-conjecture. The key tools used are the Baum-Connes conjecture and a Chern character defined by Raven.
Cite
@article{arxiv.2402.06837,
title = {The rational HK-conjecture: transformation groupoids and a revised version},
author = {Robin J. Deeley and Rufus Willett},
journal= {arXiv preprint arXiv:2402.06837},
year = {2024}
}
Comments
43 pages