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On the asymptotic tensor norm

V. Manuilov·K. Thomsen
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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.

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V. Manuilov, K. Thomsen. 2003-11-05. On the asymptotic tensor norm. https://arxiv.org/abs/math/0311059

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