On the Baum-Connes conjecture in the real case, by Paul Baum and Max Karoubi

In this paper we prove that if the classical Baum-Connes conjecture in complex K-theory is true (for a given discrete group G), then the conjecture is also true in the real case. According to S. Stolz, this result is linked with the existence of a Riemannian metric of positive scalar curvature on a compact connected spin manifold with G as fundamental group.

Paul Baum <baum@math.psu.edu>
Max Karoubi <karoubi@math.jussieu.fr>