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Homological localizations of Eilenberg–MacLane spectra
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Javier J. Gutiérrez
Veröffentlicht/Copyright:
8. Februar 2010
Abstract
We discuss the Bousfield localization LEX for any spectrum E and any HR-module X, where R is a ring with unit. Due to the splitting property of HR-modules, it is enough to study localizations of Eilenberg–MacLane spectra. Using general results about stable localizations, we give a method to compute the localization LEHG for any spectrum E and any abelian group G, and describe it explicitly when G belongs to certain classes of abelian groups. The results depend basically on the E-acyclicity patterns of Hℚ and Hℤ/p for each prime p, as in earlier work of Bousfield in the unstable case.
Received: 2006-12-22
Revised: 2008-03-26
Revised: 2008-06-05
Published Online: 2010-02-08
Published in Print: 2010-March
© de Gruyter 2010
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Artikel in diesem Heft
- Lp estimates for parabolic magnetic Schrödinger operators
- Calculation of UNil for the cyclic group of order two
- Lie theoretic significance of the measure topologies associated with a finite trace
- Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
- The finiteness of NK1(ℤ[G])
- Poincaré duality pairs of dimension three
- Optimal quantization of probabilities concentrated on small balls
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ
- Homological localizations of Eilenberg–MacLane spectra
- A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
- The cohomology groups of the outer Whitehead automorphism group of a free product
- Dual topology of the motion groups
Artikel in diesem Heft
- Lp estimates for parabolic magnetic Schrödinger operators
- Calculation of UNil for the cyclic group of order two
- Lie theoretic significance of the measure topologies associated with a finite trace
- Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems
- The finiteness of NK1(ℤ[G])
- Poincaré duality pairs of dimension three
- Optimal quantization of probabilities concentrated on small balls
- A sharp diameter bound for unipotent groups of classical type over ℤ/pℤ
- Homological localizations of Eilenberg–MacLane spectra
- A∞-coalgebra structure maps that vanish on H∗(K(π, n); ℤp)
- The cohomology groups of the outer Whitehead automorphism group of a free product
- Dual topology of the motion groups
