Hermitian K-theory of the integers, by A. J. Berrick and M. Karoubi

The 2-primary torsion of the higher algebraic K-theory of the integers has been computed by Rognes and Weibel. In this paper we prove analogous results for the Hermitian K-theory of the integers with 2 inverted (denoted by Z'). We also prove in this case the analog of the Lichtenbaum conjecture for the Hermitian K-theory of Z' : the homotopy fixed point set of a suitable Z/2 action on the classifying space of the algebraic K-theory of Z' is the Hermitian K-theory of Z' after 2-adic completion.


A. J. Berrick <berrick@math.nus.edu.sg>
M. Karoubi <karoubi@math.jussieu.fr>