## Homology, Homotopy and Applications

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

Ivo Dell'Ambrogio

#### Abstract

We produce a cofibrantly generated simplicial symmetric monoidal model structure for the category of (small unital) $\mathrm{C}^*$-categories, whose weak equivalences are the unitary equivalences. The closed monoidal structure consists of the maximal tensor product, which generalizes that of $\mathrm{C}^*$-algebras, together with the Ghez-Lima-Roberts $\mathrm{C}^*$-categories of *-functors, $\mathrm{C}^*(A;B)$, providing the internal Hom’s.

#### Article information

Source
Homology Homotopy Appl. Volume 14, Number 2 (2012), 101-127.

Dates
First available in Project Euclid: 12 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.hha/1355321483

Mathematical Reviews number (MathSciNet)
MR3007088

Zentralblatt MATH identifier
1261.46067

#### Citation

Dell'Ambrogio, Ivo. The unitary symmetric monoidal model category of small C*-categories. Homology Homotopy Appl. 14 (2012), no. 2, 101--127. https://projecteuclid.org/euclid.hha/1355321483.