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arXiv · 1211.2309

A Quillen model for classical Morita theory and a tensor categorification of the Brauer group

Ivo Dell'Ambrogio·Gonçalo Tabuada
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Abstract

Let K be a commutative ring. In this article we construct a symmetric monoidal Quillen model structure on the category of small K-categories which enhances classical Morita theory. We then use it in order to obtain a natural tensor categorification of the Brauer group and of its functoriality.

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Ivo Dell'Ambrogio, Gonçalo Tabuada. 2012-11-10. A Quillen model for classical Morita theory and a tensor categorification of the Brauer group. https://doi.org/10.1016/j.jpaa.2014.04.004.

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