### K-and L-theory of the semi-direct product of the discrete Heisenberg group by Z/4, by Wolfgang Lueck

We compute the group homology, the topological K-theory of the reduced
C^*-algebra and the algebraic $- and L-theory of the group ring of the
semi-direct product of the three-dimensional discrete Heisenberg group
by Z/4. These computations will follow from the more general
treatment of a certain class of groups G which occur as extensions 1
to K to G to Q to 1 of a torsionfree group K by a group Q which
satisfies certain assumptions. The key ingredients are the Baum-Connes
and Farrell-Jones Conjectures and methods from equivariant algebraic
topology.

Wolfgang Lueck <lueck@math.uni-muenster.de>