Filtrations of simplicial functors, topological K-theory and the Strong Novikov conjecture, by Crichton Ogle

This is an updated version of my K-theory archives posting 64. Together with the previous it proves rational injectivity of the assembly map for the topological K-theory of the reduced C^*-algebra C^*(pi) for any countable discrete group pi (the first version demonstrated injectivity for a C^*-algebra constructed from a presentation of pi. This implied the result for the maximal C^*-algebra, but not the reduced).

This paper has been removed pending revision.

Crichton Ogle <>