English

Some Results on Inner Quasidiagonal $C^*$-algebras

Operator Algebras 2019-11-26 v1

Abstract

In the current article, we prove the cross product CC^*-algebra by a Rokhlin action of finite group on a strongly quasidiagonal CC^*-algbra is strongly quasidiagonal again. We also show that a just-infinite CC^*-algebra is quasidiagonal if and only if it is inner quasidiagonal. Finally, we compute the topological free entropy dimension in just-infinite CC^*-algebras.

Keywords

Cite

@article{arxiv.1911.10495,
  title  = {Some Results on Inner Quasidiagonal $C^*$-algebras},
  author = {Qihui Li},
  journal= {arXiv preprint arXiv:1911.10495},
  year   = {2019}
}
R2 v1 2026-06-23T12:25:27.937Z