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...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Dell'Ambrogio, Ivo, Trigo Neri Tabuada, Goncalo Jorge
Weitere Verfasser: Massachusetts Institute of Technology. Department of Mathematics
Format: Artikel
Sprache:en_US
Veröffentlicht: Elsevier 2016
Online Zugang:http://hdl.handle.net/1721.1/105483
https://orcid.org/0000-0001-5558-9236