Corpus ID: 9848146

# TRIANGULATED CATEGORIES OF RATIONAL EQUIVARIANT COHOMOLOGY THEORIES

@inproceedings{GreenleesTRIANGULATEDCO,
title={TRIANGULATED CATEGORIES OF RATIONAL EQUIVARIANT COHOMOLOGY THEORIES},
author={J. Greenlees}
}
4 Citations
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
An algebraic model for rational toral G–spectra
• Mathematics
• 2019
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
• Mathematics
• 2019
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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Abstract We give a functorial construction of a rational S 1 -equivariant cohomology theory from an elliptic curve A equipped with suitable coordinate data. The elliptic curve may be recovered fromExpand
An Algebraic Model for Rational S1‐Equivariant Stable Homotopy Theory
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
Rational S[1]-equivariant stable homotopy theory
General introduction Part I. The algebraic model of rational $\mathbb T$-spectra: Introduction to Part I Topological building blocks Maps between $\mathcal F$-free $\mathbb T$-spectra CategoricalExpand
Rational Mackey functors for compact lie groups I
A rational Mackey functor M for a compact Lie group G can be viewed as a collection of sheaves on spaces of conjugacy classes of subgroups, one for each closed subgroup H, related by restriction mapsExpand
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