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