The unitary symmetric monoidal model category of small C*-categories

Details The unitary symmetric monoidal model category of small C*-categories The unitary symmetric monoidal model category of small C*-categories

2010-04-09

arxiv.org/abs/1004.1488v3

Mathematics

Category Theory

24 pages; removed example 1.10 and added remark 1.5 and proposition 1.6

Scientific paper

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, with the Ghez-Lima-Roberts C*-categories of *-functors, C*(A,B), providing the internal Hom's.

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