H-algebra spectra are differential graded algebras

• Autores: Brooke Shipley
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 129, Nº 2, 2007, págs. 351-379
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We show that the homotopy theory of differential graded algebras coincides with the homotopy theory of H-algebra spectra. Namely, we construct Quillen equivalences between the Quillen model categories of (unbounded) differential graded algebras and H-algebra 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 basically any rational stable model category is Quillen equivalent to modules over a differential graded -algebra (with many objects).