Tracial topological rank zero and stable rank one for certain tracial approximation C∗-algebras
Abstract
We show that let P be a class of unital C∗-algebras which have tracial topological rank zero (stable rank one). Then A has tracial topological rank zero (stable rank one) for any simple unital C∗-algebra A ∈ WTAP.
Copyright © 2021 Chengcheng Shan, Jun Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
C. Shan, J. Yang, Tracial topological rank zero and stable rank one for certain tracial approximation C∗-algebras, J. Math. Comput. Sci. 11 (2021), 6296–6307. https://doi.org/10.28919/jmcs/5508
BibTeX
@article{Shan2021,
author = {Shan, Chengcheng and Yang, Jun},
title = {Tracial topological rank zero and stable rank one for certain tracial approximation C∗-algebras},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6296--6307},
doi = {10.28919/jmcs/5508}
}