### 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>