# Members & Guests

## Dr. Sara Azzali

Universität Potsdam

E-mail: azzali(at)uni-potsdam.de
Telephone: +49 331 977-1629
Homepage: http://www.math.uni-potsdam.de/~azzali/

## Project

4Secondary invariants for foliations

## Publications within SPP2026

We construct a Baum--Connes assembly map localised at the unit element of a discrete group $\Gamma$.

This morphism, called $\mu_\tau$, is defined in $KK$-theory with coefficients in $\mathbb{R}$ by means of the action of the projection $[\tau]\in KK_\mathbb{R}^\Gamma(\mathbb{C},\mathbb{C})$ canonically associated to the group trace of $\Gamma$.

We show that the corresponding $\tau$-Baum--Connes conjecture is weaker then the classical one but still implies the strong Novikov conjecture.