Iterated Homotopy Fixed Points for the Lubin-tate Spectrum
نویسنده
چکیده
When G is a profinite group and H and K are closed subgroups, with H normal in K, it is not always possible to form the iterated homotopy fixed point spectrum (ZhH)hK/H , where Z is a continuous G-spectrum. However, we show that, if G = Gn, the extended Morava stabilizer group, and Z = L̂(En ∧ X), where L̂ 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 (EhH n ) hK/H is just EhK n , extending a result of Devinatz and Hopkins.
منابع مشابه
Continuous Homotopy Fixed Points for Lubin-tate Spectra
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