Henrik Rüping

In this talk I will mention some conjectures about group rings (Idempotent conjecture, unit conjecture) and mention their stable versions. Those involve algebraic K-theory. I will explain how the Farrell-Jones conjecture implies those stable versions...

In the beginning of this talk I will use the Farrell-Jones conjecture to express the K-theory of R[Z^2] in Terms of the K-theory of R. Geometric conditions on a Group that imply the conjecture will be mentioned . The class of Groups for which the...

In this talk I will give a introduction in a very useful tool – Controlled Algebra. Controlled Algebra is a way of building new additive categories with better properties out of given ones. One application is the Definition of negative K-theory...

As explained last week, Controlled Algebra is a way of building new additive categories with better properties out of given ones. This time we will use it to describe K-theoretic assembly maps as maps induced by additive functors.