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Results 1 - 10
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819
THE Gn-ACTION ON En IN THE STABLE CATEGORY
"... Abstract. It is a well-known fact that, by Brown representability, the ex-tended Morava stabilizer group Gn acts on the Lubin-Tate spectrum En, in ..."
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Abstract. It is a well-known fact that, by Brown representability, the ex-tended Morava stabilizer group Gn acts on the Lubin-Tate 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 K-theoretic spectra to show that at each prime p, the connective Adams summand ℓ has a unique structure as a commutative S-algebra. For the p-completion ℓp we show that the McClure-Staffeldt 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 Lubin-Tate spectrum En and BP〈n〉.
Galois extensions of Lubin-Tate spectra
- Homology, Homotopy and Appl
"... Abstract. Let En be the n-th Lubin-Tate 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 non-trivial 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 n-th Lubin-Tate 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 non-trivial connected Galois extensions and is thus separably closed in the sense of Rognes.
Iterated homotopy fixed points for the Lubin-Tate 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 G-spectrum. 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 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 of Devinatz and Hopkins.) hK/H is just E hK
Homology, Homotopy and Applications, vol. 10(3), 2008, pp.27–43 GALOIS EXTENSIONS OF LUBIN-TATE SPECTRA
"... Let En be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra 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 non-trivial connected finite Ga ..."
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Let En be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra 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 non-trivial connected finite
The Lubin-Tate spectrum and its homotopy fixed point spectra
- NORTHWESTERN UNIVERSITY
, 2003
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PROFINITE AND DISCRETE G-SPECTRA 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 Lubin-Tate 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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Cited by 1 (0 self)
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Abstract. In chromatic homotopy theory, given K ⊳ G < Gn, closed subgroups of the extended Morava stabilizer group Gn, and the Lubin-Tate 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 G-spectrum 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 E2-term is the continuous homology of G with coef-ficients in the graded profinite bZ[[G]]-module pi∗(X). Let Gn be the extended Morava stabilizer group and let En be the Lubin-Tate spectrum. As an appli-cation 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 K-theory spectrum. Let En be the Lubin-Tate 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 K-theory spectrum. Let En be the Lubin-Tate 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
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819
