Nuclear C~*-代数中的三角子代数的根  

RADICALS OF TRIANGULAR SUBALGEBRAS OF NUCLEAR C * ALGEBRAS WITH DIAGONALS

作　　者：纪培胜[1] 

机构地区：[1]青岛大学数学系

出　　处：《青岛大学学报（自然科学版）》1999年第2期1-6,共6页Journal of Qingdao University(Natural Science Edition)

摘　　要：设Ｂ是含Ｋｕｍｊｉａｎ意义的对角Ｄ的ＮｕｃｌｅａｒＣ＊－代数．Ａ是Ｂ中的三角子代数，本文讨论Ａ的各种根之间的关系．特别的，证明了Ａ的Ｊａｃｏｂｓｏｎ根等于Ａ的拓扑素根，拓扑原始根等于Ａ的素根的闭包．Let A be a triangular subalgebra of nuclear C * algebra B with diagonal D in the sense of Kumjian. This paper discussed the relationship among the radicals of A. Particularly, it is proved that the Jacobson radical of A coincides with the topological prime redical of A, and the topological primal radical of A conincides with the closure of the prime radical of A.

关 键 词：三角子代数 NUCLEAR C^＊代数 根 C^＊代数 

分 类 号：O177.5[理学—数学]