Kirchberg's Factorization Property for Discrete Quantum Groups

TL;DR

This paper proves that certain discrete quantum groups, specifically the duals of universal unitary and orthogonal quantum groups, possess Kirchberg's factorization property under specific conditions.

Contribution

It establishes the factorization property for the duals of universal unitary and orthogonal quantum groups when n is not equal to 3.

Findings

Discrete duals of universal unitary quantum groups have Kirchberg's property.

Discrete duals of orthogonal quantum groups have Kirchberg's property.

The property holds for all n ≠ 3.

Abstract

We show that the discrete duals of the universal unitary quantum groups and orthogonal quantum groups have Kirchberg's factorization property when n is different from 3.