Fixed point adjunctions for equivariant module spectra

DOI10.2140/AGT.2014.14.1779zbMath1297.55013arXiv1301.5869OpenAlexW2030676313MaRDI QIDQ2453738

Brooke Shipley, John P. C. Greenlees

Publication date: 10 June 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5869

zbMATH Keywords

spectral sequencesequivariant cohomologyspectra\(G\)-spectramodel categoriesstable homotopy theorycellularizationhomotopy fixed pointsMackey functorsBousfield localisation

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Equivariant homology and cohomology in algebraic topology (55N91) Equivariant homotopy theory in algebraic topology (55P91)

Related Items (6)

Algebraic models of change of groups functors in (co)free rational equivariant spectra ⋮ Nilpotence and descent in equivariant stable homotopy theory ⋮ The spectrum of derived Mackey functors ⋮ The left localization principle, completions, and cofree \(G\)-spectra ⋮ \(G\)-symmetric monoidal categories of modules over equivariant commutative ring spectra ⋮ Torsion models for tensor-triangulated categories: the one-step case

Cites Work

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• The cellularization principle for Quillen adjunctions
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Strong convergence of the Eilenberg-Moore spectral sequence
• \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
• Equivalences of monoidal model categories
• Stable model categories are categories of modules
• Equivariant orthogonal spectra and 𝑆-modules
• Equivariant Multiplicative Closure
• Equivariant Functional Duals and Completions at Ideals of the Burnside Ring
• Some Remarks on the Structure of Mackey Functors
• Rational 𝑆¹-equivariant stable homotopy theory
• Generalized Tate cohomology
• $E_\infty $-ring structures for Tate spectra
• A Rational Splitting Theorem for the Universal Space for Almost Free Actions
• An algebraic model for free rational G -spectra
• On closed categories of functors

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