posted on 2024-11-16, 09:01authored byEfren Ruiz, Aidan SimsAidan Sims, Adam Sorensen
We prove that every Kirchberg algebra in the UCT class has nuclear dimension 1. We first show that Kirchberg 2-graph algebras with trivial K0 and finite K1 have nuclear dimension 1 by adapting a technique developed by Winter and Zacharias for Cuntz algebras. We then prove that every Kirchberg algebra in the UCT class is a direct limit of 2-graph algebras to obtain our main theorem.
Funding
Operator algebras as models for dynamics and geometry