A stable model category is a setting for homotopy theory where the suspension functor is
invertible. The prototypical examples are the category of spectra in the sense of stable …

We construct Quillen equivalences between the model categories of monoids (rings),
modules and algebras over two Quillen equivalent model categories under certain …

We show that the homotopy theory of differential graded algebras coincides with the
homotopy theory of HZ-algebra spectra. Namely, we construct Quillen equivalences …

We present a detailed analysis of 2-complete stable homotopy groups, both in the classical
context and in the motivic context over $\mathbb {C} $. We use the motivic May spectral …

K-THEORY AND DERIVED EQUIVALENCES Page 1 K-THEORY AND DERIVED
EQUIVALENCES DANIEL DUGGER and BROOKE SHIPLEY Abstract We show that if two …

We present a detailed analysis of 2-complete stable homotopy groups, both in the classical
context and in the motivic context over C. We use the motivic May spectral sequence to …

We provide a universal de Rham model for rational G‐equivariant cohomology theories for
an arbitrary torus G. More precisely, we show that the representing category, of rational G …

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 …

We show under mild hypotheses that a Quillen adjunction between stable model categories
induces another Quillen adjunction between their left localizations, and we provide …

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 …