English

Divisible properties for asymptotically tracially approximation ${\rm C^*}$-algebras

Operator Algebras 2024-04-08 v2

Abstract

We show that the following divisible properties of the C{\rm C^*}-algebras in a class P\mathcal{P} are inherited by simple unital C{\rm C^*}-algebras in the class of asymptotically tracially in P\mathcal{P}: (1)(1) mm-almost divisible, (2)(2) weakly (m,n)(m, n)-divisible.

Keywords

Cite

@article{arxiv.2205.15106,
  title  = {Divisible properties for asymptotically tracially approximation ${\rm C^*}$-algebras},
  author = {Qingzhai Fan and Jiahui Wang},
  journal= {arXiv preprint arXiv:2205.15106},
  year   = {2024}
}
R2 v1 2026-06-24T11:33:08.616Z