http://nlab.mathforge.org/nlab/show/C-star+algebra
arXiv:1004.1488 The unitary symmetric monoidal model category of small C-categories from arXiv Front: math.CT by Ivo Dell’Ambrogio 1 person liked this 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.
C-algebras: See many things in the folder Noncomm geom and Cstar-alg.
nLab page on C-star algebra