Profinite and discrete G—spectra and iterated homotopy fixed points

摘要

For a profinite group G, let （-)~(hG), (-)~(hdG) and (-)~(h'G) denote continuous homotopy fixed points for profinite G-spectra, discrete G-spectra and continuous G-spectra (coming from towers of discrete G-spectra),respectively. We establish some connections between the first two notions, and by using Postnikov towers, for K ?_c G (a. closed normal subgroup), we give various conditions for when the iterated homotopy fixed points (X~(hK))~(hG/K) exist and are X~(hG). For the Lubin-Tate spectrum E_n and G