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UCT-Kirchberg algebras have nuclear dimension one |
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| Authors: | Efren Ruiz Aidan Sims Adam PW Sørensen |
| Institution: | 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 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. |
| Keywords: | primary 46L05 secondary 46L35 46L85 |
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