摘要
本文证明了：若Ａ是不可分的素Ｃ＊－代数，且包含非０的Ｌｉｍｉｎａｌ遗传Ｃ＊－子代数，则Ａ是本原Ｃ＊－代数．
In this paper we proved that if A is an inseparable prime C * algebra and A includes a nontrivial Liminal hereditary C * subalgebra, then A is a primitive C * algrbra. We gave a characterization of type I C * algebra becoming primitive C * algebra.
出处
《数学进展》
CSCD
北大核心
1997年第2期143-146,共4页
Advances in Mathematics（China）
基金
国家自然科学基金
关键词
素C^＊-代数
本原C^＊-代数
C^＊-代数
prime C * algebra
primitive C * algebra
hereditary C * subalgebra
inveloping VN algebra
open projection and closed projection
