UCT类Kirchberg代数的核维数为1
算子代数
2015-04-13 v3
摘要
我们证明UCT类中的每个Kirchberg代数都具有核维数1。我们首先通过改编Winter和Zacharias为Cuntz代数发展的技术，证明了具有平凡和有限的Kirchberg 2-图代数的核维数为1。然后我们证明UCT类中的每个Kirchberg代数是2-图代数的直极限，从而得到我们的主要定理。
引用
@article{arxiv.1406.2045,
title = {UCT-Kirchberg algebras have nuclear dimension one},
author = {Efren Ruiz and Aidan Sims and Adam P. W. Sørensen},
journal= {arXiv preprint arXiv:1406.2045},
year = {2015}
}
备注
21 pages. Version 2: reference [2] has been added, and the discussion in the introduction updated; a small but important typo has been corrected in the definition of the graph E_T. Version 3: Some typo's corrected and references updated; reference [2] corrected as we had accidentally omitted one of the authors' names in the previous version (sorry Aaron!); this version to appear in Adv. Math