### On the cyclotomic trace map K(Z[C_p]) -> TC(Z[C_p]), by Paul Arne Østvær

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.

Paul Arne Østvær <paularne@math.uio.no>