An algebraic model for commutative HZ-algebras

作者:Richter Birgit*; Shipley Brooke
来源:Algebraic and Geometric Topology, 2017, 17(4): 2013-2038.
DOI:10.2140/agt.2017.17.2013

摘要

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-infinity-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.

  • 出版日期2017