On the asymptotic tensor norm
Operator Algebras
2007-05-23 v1
Abstract
We introduce a new asymptotic one-sided and symmetric tensor norm, the latter of which can be considered as the minimal tensor norm on the category of separable C*-algebras with homotopy classes of asymptotic homomorphisms as morphisms. We show that the one-sided asymptotic tensor norm differs in general from both the minimal and the maximal tensor norms and we discuss its relation to semi-invertibility of C*-extensions.
Cite
@article{arxiv.math/0311059,
title = {On the asymptotic tensor norm},
author = {V. Manuilov and K. Thomsen},
journal= {arXiv preprint arXiv:math/0311059},
year = {2007}
}
Comments
5 pages, LaTeX