HZalgebra spectra are differential graded algebras
Abstract
We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of HZalgebra spectra. Namely, we construct Quillen equivalences between the Quillen model categories of (unbounded) differential graded algebras and HZalgebra spectra. We also construct Quillen equivalences between the differential graded modules and module spectra over these algebras. We use these equivalences in turn to produce algebraic models for rational stable model categories. We show that bascially any rational stable model category is Quillen equivalent to modules over a differential graded Qalgebra (with many objects).
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2002
 DOI:
 10.48550/arXiv.math/0209215
 arXiv:
 arXiv:math/0209215
 Bibcode:
 2002math......9215S
 Keywords:

 Mathematics  Algebraic Topology;
 55P43;
 18G35
 EPrint:
 one added reference