Homotopy theory of modules over operads in symmetric spectra

Abstract

We establish model category structures on algebras and modules over operads in symmetric spectra, and study when a morphism of operads induces a Quillen equivalence between corresponding categories of algebras (resp. modules) over operads.

Corrigendum

References in corpus (1)

• Modules in Monoidal Model Categories

Cited by in corpus (11)

• Model Structures on Commutative Monoids in General Model Categories
• Admissibility and rectification of colored symmetric operads
• An algebraic model for commutative HZ-algebras
• Genuine equivariant operads
• Bar constructions and Quillen homology of modules over operads
• Homotopy completion and topological Quillen homology of structured ring spectra
• Cofibrancy of operadic constructions in positive symmetric spectra
• Operad bimodules, and composition products on Andre-Quillen filtrations of algebras
• Symmetric operads in abstract symmetric spectra
• Operads in Unstable Global Homotopy Theory
• TQ-completion and the Taylor tower of the identity functor