The unitary symmetric monoidal model category of small C*-categories
Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 101-127.

Voir la notice de l'article provenant de la source International Press of Boston

We produce a cofibrantly generated simplicial symmetric monoidal model structure for the category of (small unital) C*-categories, whose weak equivalences are the unitary equivalences. The closed monoidal structure consists of the maximal tensor product, which generalizes that of C*-algebras, together with the Ghez-Lima-Roberts C*-categories of *-functors, C*(A,B), providing the internal Hom’s.
DOI : 10.4310/HHA.2012.v14.n2.a7
Classification : 46L05, 46M15, 55U35
Keywords: C*-category, universal construction, model category
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     title = {The unitary symmetric monoidal model category of small {C*-categories}},
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Ivo Dell’Ambrogio. The unitary symmetric monoidal model category of small C*-categories. Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 101-127. doi : 10.4310/HHA.2012.v14.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a7/

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