Coarse Baum-Connes and warped cones: failure of surjectivity in odd degree

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.

21 pages, 1 figure. Minor corrections and more details have been included