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

Our main result gives an explicit calculation of the cyclotomic
trace map K(Z[C_{p}]) -> TC(Z[C_{p}]) 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.