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arXiv · 1004.0006

The smash product for derived categories in stable homotopy theory

Michael A. Mandell
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Abstract

An E_1 (or A-infinity) ring spectrum R has a derived category of modules D_R. An E_2 structure on R endows D_R with a monoidal product. An E_3 structure on R endows the monoidal product with a braiding. If the E_3 structure extends to an E_4 structure then the braided monoidal product is symmetric monoidal.

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Michael A. Mandell. 2012-04-05. The smash product for derived categories in stable homotopy theory. https://doi.org/10.1016/j.aim.2012.04.012

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