Continuous homotopy fixed points for Lubin-Tate spectra
Algebraic Topology
2012-03-23 v4
Abstract
We construct a stable model structure on profinite symmetric spectra with a continuous action of an arbitrary profinite group. This provides a natural framework for a new construction of homotopy fixed point spectra and of homotopy fixed point spectral sequences for the action of the extended Morava stabilizer group on Lubin-Tate spectra. These continuous homotopy fixed points are canonically equivalent to the homotopy fixed points of Devinatz and Hopkins but have a drastically simplified construction.
Keywords
Cite
@article{arxiv.0911.5238,
title = {Continuous homotopy fixed points for Lubin-Tate spectra},
author = {Gereon Quick},
journal= {arXiv preprint arXiv:0911.5238},
year = {2012}
}
Comments
58 pages; revised and extended version containing more material on profinite G-spectra, stable profinite homotopy groups and homotopy limits, improved final section