### The p-chain spectral sequence, by James F. Davis and Wolfgang Lueck

We introduce a new spectral sequence called the p-chain spectral sequence
which converges to the (co-)homology of a contravariant C-space with
coefficients in a covariant C-spectrum for a small category C. It is
different from the corresponding Atiyah-Hirzebruch type spectral sequence.
It can be used in combination with the Isomorphism Conjectures of Baum-Connes
and Farrell-Jones to compute algebraic K- and L-groups of group rings and
topological K-groups of reduced group C*-algebras.

James F. Davis <jfdavis@indiana.edu>

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