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arXiv · 2607.00177

Approximate factorization properties for operator systems

Roy Araiza·Larissa Kroell·Travis Russell·Thomas Sinclair
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Abstract

We show that many of the standard nuclearity properties considered in the literature for the hierarchy of operator system tensor products can be expressed as approximate factorization properties, generalizing the well-known Completely Positive Approximation Property for nuclear C*-algebras due to Choi and Effros and its generalization to nuclear operator systems due to Han and Paulsen.

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Roy Araiza, Larissa Kroell, Travis Russell, Thomas Sinclair. 2026-06-30. Approximate factorization properties for operator systems. https://arxiv.org/abs/2607.00177

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