On the asymptotic tensor norm

Details On the asymptotic tensor norm On the asymptotic tensor norm

2003-11-05

arxiv.org/abs/math/0311059v1

Mathematics

Operator Algebras

5 pages, LaTeX

Scientific paper

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.

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