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.
Homology, Homotopy and Applications, Vol. 14 (2012), No. 2, pp.101-127.
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