The cotriple resolution of differential graded algebras

Fresse, Benoit

doi:10.1090/proc/13135

The cotriple resolution of differential graded algebras
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Proc. Amer. Math. Soc. 144 (2016), 4693-4707 Request permission

Abstract:

We consider the cotriple resolution of algebras over operads in differential graded modules. We focus, to be more precise, on the example of algebras over the differential graded Barratt-Eccles operad and on the example of commutative algebras. We prove that the geometric realization of the cotriple resolution (in the sense of model categories) gives a cofibrant resolution functor on these categories of differential graded algebras.

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