Title: Homotopy fixed point spectra for closed subgroups of the
Morava stabilizer groups
Author: Ethan S. Devinatz and Michael J. Hopkins
Addresses of Authors:
Ethan S. Devinatz
Department of Mathematics
University of Washington
Seattle, WA 98195
Michael J. Hopkins
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA 02135
Email: devinatz@math.washington.edu
mjh@math.mit.edu
Text of Abstract: Let G be a closed subgroup of the semi-direct product
of the nth Morava stabilizer group with the Galois group of the
field extension of degree n of the field of p elements. We construct
a "homotopy fixed point spectrum" whose homotopy fixed point spectral
sequence involves the continuous cohomology of G. These spectra have
the expected functorial properties and agree with the Hopkins-Miller
fixed-point spectra when G is finite.