An algebraic model for rational SO(3)-spectra

Abstract

Greenlees established an equivalence of categories between the homotopy category of rational SO(3)-spectra and the derived category DA(SO(3)) of a certain abelian category. In this paper we lift this equivalence of homotopy categories to the level of Quillen equivalences of model categories. Methods used in this paper provide the first step towards obtaining an algebraic model for the toral part of rational G-spectra, for any compact Lie group G.

References in corpus (2)

• Splitting Monoidal Stable Model Categories
• Rational SO(2)-Equivariant Spectra

Cited by in corpus (7)

• The Left Localization Principle, completions, and cofree $G$-spectra
• Rational $G$-spectra for profinite $G$
• An introduction to algebraic models for rational G-spectra
• Algebraic models of change of groups functors in (co)free rational equivariant spectra
• Flatness and Shipley's algebraicization theorem
• An algebraic model for rational toral G-spectra
• Rational local systems and connected finite loop spaces