Geodesic
Rectification of algebras and modules
Documenta mathematica, Tome 20 (2015), pp. 879-926.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $\cO$ be a topological (colored) operad. The Lurie $\infty$-category of $\cO$-algebras with values in ($\infty$-category of) complexes is compared to the $\infty$-category underlying the model category of (classical) dg $\cO$-algebras. This can be interpreted as a "rectification" result for Lurie operad algebras. A similar result is obtained for modules over operad algebras, as well as for algebras over topological PROPs.
Classification : 18G55, 18D05, 18D50 
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Hinich, Vladimir. Rectification of algebras and modules. Documenta mathematica, Tome 20 (2015), pp. 879-926. http://geodesic.mathdoc.fr/item/DOCMA_2015__20__a16/