K-theory hypercohomology spectra of number rings at the prime 2, by Stephen A. Mitchell

Suppose R is a number ring admitting a real embedding. The study of the 2-primary homotopy-type of the etale K-theory spectrum of R is complicated by the fact that R has infinite etale cohomological dimension. It is possible to avoid the complications, however, by working on an auxiliary site introduced by Thomas Zink. Many of the results for the odd-primary homotopy-type, obtained earlier in joint work with Bill Dwyer, can then be extended to the 2-primary case.


Stephen A. Mitchell <mitchell@math.washington.edu>