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

Let KK be a commutative ring. In this article we construct a well-behaved symmetric monoidal Quillen model structure on the category of small KK-categories which enhances classical Morita theory. Making use of it, we then obtain the usual categorification of the Brauer group and of its functoriality...

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Bibliographic Details
Main Authors: Dell'Ambrogio, Ivo (Author), Trigo Neri Tabuada, Goncalo Jorge (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Elsevier, 2016-11-30T20:33:38Z.
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