Paul Arne Østvær: `On the cyclotomic trace map K(Z[Cp]) -> TC(Z[Cp])'.

Our main result gives an explicit calculation of the cyclotomic trace map K(Z[Cp]) -> TC(Z[Cp]) after two-adic completion under the assumption that p is a two-regular prime. Let X be a topological space whose fundamental group is of order p, where p is as before. The main result, combined with a theorem of Dundas, gives an explicit calculation of the homotopy groups of the homotopy fibre of the trace map A(X) -> TC(X) after two-adic completion.