Artin induction, nilpotence, and algebraic K-theory

Let R be a ring. A classical result of Mitchell states that the algebraic K-theory of R has
no chromatic information at heights at least 2. We give a new approach to Mitchell's
theorem and analogs for some ring spectra as predicted by the redshift philosophy
of Rognes. Our methods are based on Hopkins-Kuhn-Ravenel character theory, a
nilpotence conjecture of J.P. May, and a version of Swan K-theory.
This is joint work with Dustin Clausen, Niko Naumann, and Justin Noel.