Connes embeddability of graph products

TL;DR

This paper proves that the property of Connes embeddability remains intact when applying graph product operations, advancing understanding of operator algebras and quantum information theory.

Contribution

It establishes that Connes embeddability is preserved under graph products, a significant extension of previous results in operator algebra theory.

Findings

Connes embeddability is stable under graph products.

The result applies to a broad class of graph-structured operator algebras.

This advances the understanding of the structure of von Neumann algebras.

Abstract

We prove that the Connes embedding problem is stable under graph products.