Geodesic
Continuous homotopy fixed points for Lubin-Tate spectra
Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 191-222.

Voir la notice de l'article provenant de la source International Press of Boston

We provide a new and conceptually simplified construction of continuous homotopy fixed point spectra for Lubin-Tate spectra under the action of the extended Morava stabilizer group. Moreover, our new construction of a homotopy fixed point spectral sequence converging to the homotopy groups of the homotopy fixed points of Lubin-Tate spectra is isomorphic to an Adams spectral sequence converging to the homotopy groups of the spectra constructed by Devinatz and Hopkins. The new idea is built on the theory of profinite spectra with a continuous action by a profinite group.
DOI : 10.4310/HHA.2013.v15.n1.a10
Classification : 55P43, 55Q52, 55Q91, 55T15
Keywords: homotopy fixed point, Lubin-Tate spectrum, Morava stabilizer group, Adams spectral sequence 
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     author = {Gereon Quick},
     title = {Continuous homotopy fixed points for {Lubin-Tate} spectra},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a10/}
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Gereon Quick. Continuous homotopy fixed points for Lubin-Tate spectra. Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 191-222. doi : 10.4310/HHA.2013.v15.n1.a10. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a10/

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