On the asymptotic tensor norm

2003/11/05 by V. Manuilov, K. Thomsen, Manuilov, V. +1
Mathematics · #46L05 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05

paper · pdf · doi:10.48550/arxiv.math/0311059

5 pages, LaTeX

arxiv created 2003/11/05 · arxiv updated 2009/12/01

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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