UCT-Kirchberg algebras have nuclear dimension one期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

UCT-Kirchberg algebras have nuclear dimension one

Authors:	Efren Ruiz,Aidan Sims,Adam P.W. Sø rensen

Affiliation:	1. Department of Mathematics, University of Hawaii, Hilo, 200 W. Kawili St., Hilo, HI, 96720-4091 USA;2. School of Mathematics and Applied Statistics, Faculty of Engineering and Information Sciences, University of Wollongong, NSW 2522, Australia;3. Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen Ø, Denmark

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 $K_{0}$ and finite _K₁ $K_{1}$ 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.

Keywords:	primary, 46L05 secondary, 46L35, 46L85
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