CRC 1442 - C03: K-theory of group algebras

Basic data for this project

Description

The Farrell–Jones conjecture gives a homological formula for the K-theory of group rings. On the one hand this conjecture has concrete applications, e.g. to the rigidity of aspherical manifolds. On the other hand its underlying principle is very general, and applies for example also to Hecke algebras of p-adic Lie groups. We will extend the scope of positive results for this conjecture, develop new tools to study the conjecture and extend the framework where is can be formulated and applied.