Homotopy fixed points for L_K(n)(E_n ^ X) using the continuous action

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dc.creatorDavis, Daniel G.
dc.date2005-01-26
dc.date.accessioned2026-07-07T05:16:26Z
dc.date.available2026-07-07T05:16:26Z
dc.descriptionLet G be a closed subgroup of G_n, the extended Morava stabilizer group. Let E_n be the Lubin-Tate spectrum, let X be an arbitrary spectrum with trivial G-action, and define E^(X) to be L_K(n)(E_n ^ X). We prove that E^(X) is a continuous G-spectrum with a G-homotopy fixed point spectrum, defined with respect to the continuous action. Also, we construct a descent spectral sequence whose abutment is the homotopy groups of the G-homotopy fixed point spectrum of E^(X). We show that the homotopy fixed points of E^(X) come from the K(n)-localization of the homotopy fixed points of the spectrum (F_n ^ X).
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0501474
dc.identifierhttp://arxiv.org/abs/math/0501474
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73986
dc.subjectAlgebraic Topology
dc.subject55P42; 55T99
dc.titleHomotopy fixed points for L_K(n)(E_n ^ X) using the continuous action
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