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THE GnACTION ON En IN THE STABLE CATEGORY
"... Abstract. It is a wellknown fact that, by Brown representability, the extended Morava stabilizer group Gn acts on the LubinTate spectrum En, in ..."
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Abstract. It is a wellknown fact that, by Brown representability, the extended Morava stabilizer group Gn acts on the LubinTate spectrum En, in
UNIQUENESS OF E ∞ STRUCTURES FOR CONNECTIVE COVERS
, 2006
"... Abstract. We refine our earlier work on the existence and uniqueness of E ∞ structures on Ktheoretic spectra to show that at each prime p, the connective Adams summand ℓ has a unique structure as a commutative Salgebra. For the pcompletion ℓp we show that the McClureStaffeldt model for ℓp is equ ..."
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Cited by 6 (1 self)
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is equivalent as an E ∞ ring spectrum to the connective cover of the periodic Adams summand Lp. We establish a Bousfield equivalence between the connective cover of the LubinTate spectrum En and BP〈n〉.
Galois extensions of LubinTate spectra
 Homology, Homotopy and Appl
"... Abstract. Let En be the nth LubinTate spectrum at an odd prime and adjoin all roots of unity whose order is not divisible by p. We show that the resulting spectrum E nr n does not have any nontrivial connected Galois extensions and is thus separably closed in the sense of Rognes. ..."
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Cited by 8 (1 self)
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Abstract. Let En be the nth LubinTate spectrum at an odd prime and adjoin all roots of unity whose order is not divisible by p. We show that the resulting spectrum E nr n does not have any nontrivial connected Galois extensions and is thus separably closed in the sense of Rognes.
Iterated homotopy fixed points for the LubinTate spectrum
, 2006
"... 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 Gspectrum. However, we show that, if G = Gn, the extended Morava stabilizer group, and Z = ̂ L(En ∧ X ..."
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Cited by 12 (9 self)
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∧ X), where ̂ L is Bousfield localization with respect to Morava Ktheory, En is the LubinTate spectrum, and X is any spectrum with trivial Gnaction, then the iterated homotopy fixed point spectrum can always be constructed. Also, we show that (EhH n of Devinatz and Hopkins.) hK/H is just E hK
Homology, Homotopy and Applications, vol. 10(3), 2008, pp.27–43 GALOIS EXTENSIONS OF LUBINTATE SPECTRA
"... Let En be the nth LubinTate spectrum at a prime p. There is a commutative Salgebra Enr n whose coefficients are built from the coefficients of En and contain all roots of unity whose order is not divisible by p. For odd primes p we show that Enr n does not have any nontrivial connected finite Ga ..."
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Let En be the nth LubinTate spectrum at a prime p. There is a commutative Salgebra Enr n whose coefficients are built from the coefficients of En and contain all roots of unity whose order is not divisible by p. For odd primes p we show that Enr n does not have any nontrivial connected finite
The LubinTate spectrum and its homotopy fixed point spectra
 NORTHWESTERN UNIVERSITY
, 2003
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PROFINITE AND DISCRETE GSPECTRA AND ITERATED HOMOTOPY FIXED POINTS
"... Abstract. In chromatic homotopy theory, given K ⊳ G < Gn, closed subgroups of the extended Morava stabilizer group Gn, and the LubinTate spectrum En, which carries an action by Gn, the problem of understanding both the homotopy fixed point spectra of En for the actions of K and G and the relatio ..."
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Abstract. In chromatic homotopy theory, given K ⊳ G < Gn, closed subgroups of the extended Morava stabilizer group Gn, and the LubinTate spectrum En, which carries an action by Gn, the problem of understanding both the homotopy fixed point spectra of En for the actions of K and G
THE HOMOTOPY ORBIT SPECTRUM FOR PROFINITE GROUPS
"... Abstract. Let G be a profinite group. We define an S[[G]]module to be a Gspectrum X that satisfies certain conditions, and, given an S[[G]]module X, we define the homotopy orbit spectrum XhG. When G is countably based and X satisfies a certain finiteness condition, we construct a homotopy orbit s ..."
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spectral sequence whose E2term is the continuous homology of G with coefficients in the graded profinite bZ[[G]]module pi∗(X). Let Gn be the extended Morava stabilizer group and let En be the LubinTate spectrum. As an application of our theory, we show that the function spectrum F (En, LK(n)(S 0
Homotopy fixed points for LK(n)(En ∧X) using the continuous action
 J. Pure Appl. Algebra
"... Abstract. Let K(n) be the nth Morava Ktheory spectrum. Let En be the LubinTate spectrum, which plays a central role in understanding LK(n)(S 0), the K(n)local sphere. For any spectrum X, dene E_(X) to be the spectrum LK(n)(En ^ X). Let G be a closed subgroup of the pronite group Gn, the group of ..."
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Cited by 20 (14 self)
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Abstract. Let K(n) be the nth Morava Ktheory spectrum. Let En be the LubinTate spectrum, which plays a central role in understanding LK(n)(S 0), the K(n)local sphere. For any spectrum X, dene E_(X) to be the spectrum LK(n)(En ^ X). Let G be a closed subgroup of the pronite group Gn, the group
Results 1  10
of
819