Corpus ID: 9848146

TRIANGULATED CATEGORIES OF RATIONAL EQUIVARIANT COHOMOLOGY THEORIES

@inproceedings{GreenleesTRIANGULATEDCO,
  title={TRIANGULATED CATEGORIES OF RATIONAL EQUIVARIANT COHOMOLOGY THEORIES},
  author={J. Greenlees}
}
Algebraic models of change of groups functors in (co)free rational equivariant spectra
Greenlees-Shipley and Pol and the author have given an algebraic model for rational (co)free equivariant spectra. We give a model categorical argument showing that theExpand
RATIONAL LOCAL SYSTEMS AND CONNECTED FINITE LOOP SPACES
Greenlees has conjectured that the rational stable equivariant homotopy category of a compact Lie group always has an algebraic model. Based on this idea, we show that the category of rational localExpand
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For G a compact Lie group, toral G–spectra are those rational G–spectra whose geometric isotropy consists of subgroups of a maximal torus of G. The homotopy category of rational toral G–spectra is aExpand
The Left Localization Principle, completions, and cofree G-spectra
We show under mild hypotheses that a Quillen adjunction between stable model categories induces another Quillen adjunction between their left localizations, and we provide conditions under which theExpand

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Greenlees dened an abelian categoryA whose derived category is equivalent to the rational S 1 -equivariant stable homotopy category whose objects represent rational S 1 - equivariant cohomologyExpand
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