Higher fixed points of topological Hochschild homology of the integers at two, by John Rognes

We compute the mod two homotopy of the C_{2^n}-fixed points of the topological cyclic homology of the integers for all n, and from this deduce the mod two homotopy of TC(Z), the topological cyclic homology of the integers. By a theorem of Hesselholt and Madsen this also gives a calculation of the mod two homotopy of the K-theory of the ring of two-adic integers.


John Rognes <rognes@math.uio.no>