The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory
  We give a survey of the meaning, status and applications of the Baum-Connes Conjecture about the topological K-theory of the reduced group C^*-algebra and the Farrell-Jones Conjecture about the algebraic K- and L-theory of the group ring of a (discrete) group G. 
Wolfgang Lueck and Holger Reich