Workshop
Real algebraic K-theory
- Ib Madsen (University of Copenhagen, Denmark)
Abstract
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.
