A model structure for coloured operads in symmetric spectra

Details A model structure for coloured operads in symmetric spectra A model structure for coloured operads in symmetric spectra

2010-06-11

arxiv.org/abs/1006.2316v2

Mathematische Zeitschrift 270 (2012), pp. 223-239

Mathematics

Algebraic Topology

16 pages

Scientific paper

10.1007/s00209-010-0794-2

We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences are defined at the level of the underlying collections. This allows us to treat R-module spectra (where R is a cofibrant ring spectrum) as algebras over a cofibrant spectrum-valued operad with R as its first term. Using this model structure, we give suficient conditions for homotopical localizations in the category of symmetric spectra to preserve module structures.

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