English

A tracially AF algebra which is not $\mathcal Z$-absorbing

Operator Algebras 2020-01-22 v3

Abstract

We show that there is a simple separable unital (non-nuclear) tracially AF algebra AA which does not absorb the Jiang-Su algebra Z\mathcal Z tensorially, i.e., AAZA \ncong A\otimes\mathcal Z.

Cite

@article{arxiv.1902.03325,
  title  = {A tracially AF algebra which is not $\mathcal Z$-absorbing},
  author = {Zhuang Niu and Qingyun Wang},
  journal= {arXiv preprint arXiv:1902.03325},
  year   = {2020}
}

Comments

Final version, to be published in Muenster Journal of Mathematics

R2 v1 2026-06-23T07:36:21.648Z