The category of rational G-equivariant cohomology theories for a compact Lie group G is the
homotopy category of rational G-spectra and therefore tensor-triangulated. We show that its …

This article is designed to provide an introduction to some examples of triangulated
categories that arise in the study of G-equivariant cohomology theories for a compact Lie …

We develop model categories of rational equivariant spectra whose homotopy categories
are equivalent to the category of rational equivariant cohomology theories. We prove that …

For an arbitrary compact Lie group G, we describe a model for rational G–spectra with toral
geometric isotropy and show that there is a convergent Adams spectral sequence based on …

We show that for any compact Lie group G with identity component N and component group
W= G/N, the category of free rational G‐spectra is equivalent to the category of torsion …

We show that the category of free rational G-spectra for a connected compact Lie group G is
Quillen equivalent to the category of torsion differential graded modules over the polynomial …

Equivariant stable homotopy theory deals with the study of equivariant spectra and the
cohomology theories they represent. While some of these equivariant theories are specific to …

We apply the techniques of highly structured ring and module spectra to prove a duality
theorem for the cohomology ring of the classifying space of a compact Lie group. This …

In this paper we study the notion of representation up to homotopy of a Lie groupoid and the
resulting derived category, and show that the adjoint representation is well defined as a …

We study the tensor-triangular geometry of the category of rational $ G $-spectra for a
compact Lie group $ G $. In particular, we prove that this category can be naturally …