Nuclear dimension and the corona factorization property

TL;DR

This paper proves that certain noncommutative C*-algebras with finite nuclear dimension, when stabilized, possess the corona factorization property, advancing understanding of their structural properties.

Contribution

It establishes that stabilizations of sufficiently noncommutative separable unital C*-algebras with finite nuclear dimension have the corona factorization property, linking nuclear dimension to this property.

Findings

Stabilizations of noncommutative C*-algebras with finite nuclear dimension have the corona factorization property.

Finite nuclear dimension implies the corona factorization property for certain stabilized C*-algebras.

The result connects nuclear dimension with the corona factorization property in operator algebra theory.

Abstract

We show that stabilizations of sufficiently noncommutative separable unital C*-algebras with finite nuclear dimension have the corona factorization property.