### Topological K-theory of the integers at the prime 2, by Luke Hodgkin

Recent results of Voevodsky and others have effectively led to the proof
of the Lichtenbaum-Quillen conjectures at the prime 2, and consequently
made it possible to determine the 2-local homotopy type of the K-theory
spectra for various number rings. The basic case is that of BGL(Z); in
this note we use these results to determine the 2-local (topological)
K-theory of the space BGL(Z), which can be described as a completed
tensor product of two quite simple components; one corresponds to a
real `image of J' space, the other to BBSO.

This is a revised and improved version of a previous paper with
a similar title (these archives, no. 211), which it replaces.

Luke Hodgkin <luke.hodgkin@kcl.ac.uk>