Sara Azzali (Uni Potsdam)
The Baum--Connes conjecture can be seen as a far reaching generalisation of the Atiyah--Singer index theorem. Given a locally compact group G, the conjecture predicts an isomorphisms between a topological and an analytic object constructed from G.
In the case of discrete groups, we are investigating a weak form of the Baum–Connes conjecture, which we formulate in terms of KK-theory with real coefficients. We show that this conjecture is intermediate between the classic Baum--Connes conjecture and the Strong Novikov conjecture.
Joint work in progress with Paolo Antonini and Georges Skandalis.