Homology, Homotopy and Applications

Volume 14 (2012)

Number 2

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

Pages: 101 – 127

DOI: https://dx.doi.org/10.4310/HHA.2012.v14.n2.a7

Author

Ivo Dell’Ambrogio (Laboratoire Paul Painlevé, Université de Lille 1, Villeneuve d’Ascq, France)

Abstract

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.

Keywords

C*-category, universal construction, model category

2010 Mathematics Subject Classification

46L05, 46M15, 55U35

Published 4 December 2012