UCT-Kirchberg algebras have nuclear dimension one

Authors

Efren Ruiz, University of Hawaii
Aidan Sims, University of WollongongFollow
Adam P. Sorensen, University of WollongongFollow

RIS ID

100020

Publication Details

Ruiz, E., Sims, A. & Sorensen, A. P. (2015). UCT-Kirchberg algebras have nuclear dimension one. Advances in Mathematics, 279, 1-28.

Abstract

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.

Grant Number

ARC/FT100100533, ARC/DP150101598

Additional Grant Number

http://purl.org/au-research/grants/ARC/FT100100533

http://purl.org/au-research/grants/ARC/DP150101598