Decomposing nuclear maps

2019/08/02 by José R. Carrión, Carrión, José R., Christopher Schafhauser +1
Mathematics · #46L05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Graph theory and applications #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1908.00937

openalex publication_date 2019/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the strengthened version of the completely positive approximation property of Brown, Carrión, and White---where the downward maps are asymptotically order zero and the upward maps are convex combinations of order zero maps---is enjoyed by every nuclear order zero map.

Citations

• Invariant means and finite representation theory of C*-algebras
• A new proof of Kirchberg's \mathcal O₂-stable classification

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