Some Results on Inner Quasidiagonal C^*-algebras  

作　　者：Qi Hui LI Rui WANG 

机构地区：[1]School of Science,East China University of Science and Technology,Shanghai 200237,P.R.China [2]Shanghai Aerospace Control Technology Institute,Shanghai 200211,P.R.Chin

出　　处：《Acta Mathematica Sinica,English Series》2020年第10期1094-1106,共13页数学学报（英文版）

基　　金：partially supported by NSFC(Grant No.11671133)。

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

关 键 词：Inner quasidiagonal C*-algebras crossed product C*-algebras strongly quasidiagonal C^*-algebras just-infinite C^*-algebras topological free entropy dimension 

分 类 号：O177.5[理学—数学]