Iterated homotopy fixed points for the Lubin-Tate spectrum, with an Appendix: An example of a discrete G-spectrum that is not hyperfibrant

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dc.creatorDavis, Daniel G.
dc.creatorWieland, Ben
dc.date2006-10-29
dc.date2008-09-29
dc.date.accessioned2026-07-07T12:50:39Z
dc.date.available2026-07-07T12:50:39Z
dc.descriptionWhen 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 (Z^{hH})^{hK/H}, where Z is a continuous G-spectrum and all group actions are to be continuous. However, we show that, if G=G_n, the extended Morava stabilizer group, and Z=L_{K(n)}(E_n \wedge X), where L_{K(n)} is Bousfield localization with respect to Morava K-theory, E_n is the Lubin-Tate spectrum, and X is any spectrum with trivial G_n-action, then the iterated homotopy fixed point spectrum can always be constructed. Also, we show that (E_n^{hH})^{hK/H} is just E_n^{hK}, extending a result of Devinatz and Hopkins.
dc.description26 pages; added appendix (joint), which gives an example of a non-hyperfibrant discrete G-spectrum; Thm. 7.6 added; expanded Section 3; discussion of utility of K/H-action on E_n^hH added to Intro
dc.identifierhttps://arxiv.org/abs/math/0610907
dc.identifierhttp://arxiv.org/abs/math/0610907
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222746
dc.subjectAlgebraic Topology
dc.subject55P42, 55T99
dc.titleIterated homotopy fixed points for the Lubin-Tate spectrum, with an Appendix: An example of a discrete G-spectrum that is not hyperfibrant
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