Localization of algebras over operads

Javier J. Gutiérrez

Universitat de Barcelona
javier.gutierrez@ub.edu

We prove that homotopical localization functors in topological symmetric monoidal categories preserve algebras over cofibrant topological operads. It follows, among other consequences, that stable homotopical localizations commuting with suspension preserve A-infinity and E-infinity algebras.