中文

关于具有有限分解秩的简单顺从C*-代数的分类

算子代数 2016-02-03 v2

摘要

AA 是一个满足UCT的含单位元的简单可分C*-代数。假设 dr(A)<+\mathrm{dr}(A)<+\inftyAA 是Jiang-Su稳定的,且 K0(A)QQ\mathrm{K}_0(A)\otimes \mathbb{Q}\cong \mathbb{Q}。则 AA 是一个ASH代数(事实上,AA 是一个有理AH代数)。

关键词

引用

@article{arxiv.1507.07876,
  title  = {On the classification of simple amenable C*-algebras with finite decomposition rank},
  author = {George A. Elliott and Zhuang Niu},
  journal= {arXiv preprint arXiv:1507.07876},
  year   = {2016}
}

备注

10 pages; Part I of arXiv:1507.03437; To appear in "Operator Algebras and their Applications: A Tribute to Richard V. Kadison", Contemporary Mathematics, Amer. Math. Soc., Providence, R. I., 2016