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, Trigo Neri Tabuada, Goncalo Jorge
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Elsevier 2016
Online Access:http://hdl.handle.net/1721.1/105483
https://orcid.org/0000-0001-5558-9236