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math.CT2012
A Quillen model for classical Morita theory and a tensor categorification of the Brauer group
Ivo Dell'Ambrogio, Gonçalo Tabuada
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.…
math.CT2011★ 7 cited
Morita homotopy theory of C*-categories
Ivo Dell'Ambrogio, Goncalo Tabuada
In this article we establish the foundations of the Morita homotopy theory of C*-categories. Concretely, we construct a cofibrantly generated simplicial symmetric monoidal Quillen…