An algebraic model for commutative HZ-algebras

Abstract

We show that the homotopy category of commutative algebra spectra over the Eilenberg-Mac Lane spectrum of the integers is equivalent to the homotopy category of E-infinity-monoids in unbounded chain complexes. We do this by establishing a chain of Quillen equivalences between the corresponding model categories. We also provide a Quillen equivalence to commutative monoids in the category of functors from the category of finite sets and injections to unbounded chain complexes.

to appear in AGT

References in corpus (7)

• Algebras and modules in monoidal model categories
• FI-modules and stability for representations of symmetric groups
• Equivalences of monoidal model categories
• Quillen model structures for relative homological algebra
• Diagram spaces and symmetric spectra
• Homotopy theory of modules over operads in symmetric spectra
• E_n Genera

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• Extension DGAs and topological Hochschild homology