Two Characterizations of the Maximal Tensor Product of Operator Systems

TL;DR

This paper offers two new characterizations of the maximal tensor product in operator systems, one using the Schur tensor product and another based on the completely positive approximation property, advancing understanding in operator algebra theory.

Contribution

It introduces two novel characterizations of the maximal tensor product for operator systems, enhancing theoretical tools in operator algebra research.

Findings

Characterization via Schur tensor product

Characterization using CPAP

Improved understanding of tensor product structures

Abstract

In this paper we provide two characterizations of the maximal tensor product structure for the category of operator systems. The first one is via the schur tensor product; the second one employs the idea of the completely positive approximation property (CPAP).