Iterated homotopy fixed points for the Lubin-Tate spectrum |
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Authors: | Daniel G Davis |
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Institution: | Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, USA |
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Abstract: | When G is a profinite group and H and K are closed subgroups, with H normal in K, it is not known, in general, how to form the iterated homotopy fixed point spectrum (ZhH)hK/H, where Z is a continuous G-spectrum and all group actions are to be continuous. However, we show that, if G=Gn, the extended Morava stabilizer group, and , where is Bousfield localization with respect to Morava K-theory, En is the Lubin-Tate spectrum, and X is any spectrum with trivial Gn-action, then the iterated homotopy fixed point spectrum can always be constructed. Also, we show that is just , extending a result of Devinatz and Hopkins. |
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Keywords: | 55P42 55N20 55T99 |
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