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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2014
- DOI:
- 10.48550/arXiv.1411.7238
- arXiv:
- arXiv:1411.7238
- Bibcode:
- 2014arXiv1411.7238R
- Keywords:
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- Mathematics - Algebraic Topology;
- 55P43
- E-Print:
- to appear in AGT