#### 4 Citations

Algebraic models of change of groups functors in (co)free rational equivariant spectra

- Mathematics
- 2020

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 the… Expand

RATIONAL LOCAL SYSTEMS AND CONNECTED FINITE LOOP SPACES

- Mathematics
- 2020

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 local… Expand

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 a… Expand

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 the… Expand

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Rational S 1 -equivariant elliptic cohomology

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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 from… Expand

An Algebraic Model for Rational S1‐Equivariant Stable Homotopy Theory

- Mathematics
- 2001

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 cohomology… Expand

Rational S[1]-equivariant stable homotopy theory

- Mathematics
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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 Categorical… Expand

EQUIVARIANT HOMOTOPY AND COHOMOLOGY THEORY (CBMS Regional Conference Series in Mathematics 91)

- Mathematics
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Rational Mackey functors for compact lie groups I

- Mathematics
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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 maps… Expand

Rational O(2)-equivariant stable homotopy theory

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