The unitary symmetric monoidal model category of small C*-categories
Category Theory
2012-11-13 v4 Operator Algebras
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, with the Ghez-Lima-Roberts C*-categories of *-functors, C*(A,B), providing the internal Hom's.
Keywords
Cite
@article{arxiv.1004.1488,
title = {The unitary symmetric monoidal model category of small C*-categories},
author = {Ivo Dell'Ambrogio},
journal= {arXiv preprint arXiv:1004.1488},
year = {2012}
}
Comments
27 pages. Internal numbering has changed. Final version, to appear on Homology, Homotopy and Applications