Topological K-theory of algebraic K-theory spectra, by Steve Mitchell

For a fairly general class of schemes X, we construct a spectral sequence converging to the topological K-theory of the algebraic K-theory spectrum KX. The spectral sequence starts from etale homology with coefficients in a certain cosheaf constructed from roots of unity. These homology groups are usually easy to compute. In particular, we recover earlier computations of the author and Bill Dwyer for the case when X is a ring of integers in a number field or a smooth curve over a finite field.


Steve Mitchell <mitchell@math.washington.edu>