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2017 An algebraic model for commutative $H\mskip-1mu\mathbb{Z}$–algebras
Birgit Richter, Brooke Shipley
Algebr. Geom. Topol. 17(4): 2013-2038 (2017). DOI: 10.2140/agt.2017.17.2013

Abstract

We show that the homotopy category of commutative algebra spectra over the Eilenberg–Mac Lane spectrum of an arbitrary commutative ring R is equivalent to the homotopy category of E–monoids in unbounded chain complexes over R. 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.

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Birgit Richter. Brooke Shipley. "An algebraic model for commutative $H\mskip-1mu\mathbb{Z}$–algebras." Algebr. Geom. Topol. 17 (4) 2013 - 2038, 2017. https://doi.org/10.2140/agt.2017.17.2013

Information

Received: 29 September 2015; Revised: 9 December 2016; Accepted: 11 January 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1381.55007
MathSciNet: MR3685600
Digital Object Identifier: 10.2140/agt.2017.17.2013

Subjects:
Primary: 55P43

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 4 • 2017
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