Discrete group actions and a weak form of the Baum--Connes conjecture

23.05.2018, 10:30 Uhr  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

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.