Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree
K-Theory and Homology
2025-05-23 v2 Metric Geometry
Operator Algebras
Abstract
We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expected, as the obstruction arises in odd rather than even degree.
Cite
@article{arxiv.2504.21811,
title = {Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree},
author = {Christos Kitsios and Thomas Schick and Federico Vigolo},
journal= {arXiv preprint arXiv:2504.21811},
year = {2025}
}
Comments
21 pages, 1 figure. Minor corrections and more details have been included