Real algebraic K-theory

  • Ib Madsen (University of Copenhagen, Copenhagen, Denmark)
E1 05 (Leibniz-Saal)


To an exact category with duality C,I will construct a spectrum K(C) with an action of Z/2 such that the fixed point spectrum is the K-theory of non singular hermitian forms when the category is the category of finitely generated projective modules with standard duality.

The construction uses a Real version of Waldhausen's S.-construction.There are Real versions of Waldhausen's basic theorems e.g.of the additivity theorems. The bigraded homotopy groups associated to the Z/2 spectrum generalizes earlier work of Karoubi and Schlichting.

Tha talk represents joint work with Lars Hesselholt.

Antje Vandenberg

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Peter Stadler

Leipzig University