### The localization sequence for the algebraic K-theory of topological K-theory, by Andrew J. Blumberg and Michael A. Mandell

We prove a conjecture of Rognes that establishes a localization
cofiber sequence of spectra K(**Z**) to K(ku) to K(KU) to Sigma
K(**Z**) for the algebraic K-theory of topological K-theory. We
deduce the existence of this sequence as a consequence of a devissage
theorem identifying the K-theory of the Waldhausen category of
Postnikov towers of modules over a connective A-infty ring spectrum R
with the Quillen K-theory of the abelian category of finitely
generated pi_{0}R-modules.

Andrew J. Blumberg <blumberg@math.stanford.edu>

Michael A. Mandell <mmandell@indiana.edu>