A model structure for coloured operads in symmetric spectra

被引:8
|
作者
Gutierrez, Javier J. [1 ]
Vogt, Rainer M. [2 ]
机构
[1] Ctr Recerca Matemat, Bellaterra 08193, Spain
[2] Univ Osnabruck, Fachbereich Math Informat, D-49076 Osnabruck, Germany
关键词
Coloured operad; Symmetric spectra; Localization; RESOLUTION; ALGEBRAS;
D O I
10.1007/s00209-010-0794-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 sufficient conditions for homotopical localizations in the category of symmetric spectra to preserve module structures.
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页码:223 / 239
页数:17
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