Periodic Reporting for period 4 - KL2MG-interactions (K-theory, L^2-invariants, manifolds, groups and their interactions)

The primary topics are the outstanding and deep conjectures of Farrell-Jones on the algebraicK- and L-heory of group rings, of Baum-Connes on the topological K-theory ofreduced group C^*-algebras, and of Atiyah on the integrality of L^2-Betti numbers, andfurther open...