Continuous homotopy fixed points for Lubin-Tate spectra

Gereon Quick

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arXiv · 0911.5238

Continuous homotopy fixed points for Lubin-Tate spectra

Gereon Quick

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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.

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Gereon Quick. 2012-03-22. Continuous homotopy fixed points for Lubin-Tate spectra. https://arxiv.org/abs/0911.5238

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