Author(s)

Wenjuan Zhan, Liguang Wang

School of Mathematical Sciences, Qufu Normal University, Qufu, China.

Perturbation problem of operator algebras was first introduced by Kadison and Kastler. In this short note, we consider the uniform perturbation of two classes of operator algebras, i.e., MF algebras and quasidiagonal C^*-algebras. We show that the sets of MF algebras and quasidiagonal C^*-algebras of a given C^*-algebra are closed under the perturbation of uniform norm.

MF Algebra, Quasidiagonal C^*-Algebra

Zhan, W. and Wang, L. (2019) A Note on the Perturbation of MF Algebras and Quasidiagonal C^*-Algebras. Journal of Applied Mathematics and Physics, 7, 2026-2030. doi: 10.4236/jamp.2019.79139.