Homology, Homotopy and Applications
Volume 14 (2012)
The unitary symmetric monoidal model category of small C*-categories
Pages: 101 – 127
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.
C*-category, universal construction, model category
2010 Mathematics Subject Classification
46L05, 46M15, 55U35