Title: Homotopy fixed points for L_K(n)(E_n ^ X) using the continuous action
(Revised version)
Author: Daniel Davis
E-mail: dgdavis@math.purdue.edu
Address: Purdue University, Department of Mathematics, 150 N. University
Street, West Lafayette, IN 47907-2067
Abstract: Let G be a closed subgroup of G_n, the extended Morava stabilizer
group. Let E_n be the Lubin-Tate spectrum, let X be an arbitrary spectrum
with trivial G-action, and define E^(X) to be L_K(n)(E_n ^ X). We prove
that E^(X) is a continuous G-spectrum with a G-homotopy fixed point spectrum,
defined with respect to the continuous action. Also, we construct a descent
spectral sequence whose abutment is the homotopy groups of the G-homotopy
fixed point spectrum of E^(X). We show that the homotopy fixed points of
E^(X) come from the K(n)-localization of the homotopy fixed points of the
spectrum (F_n ^ X).