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对角映射的推广及其性质
引用本文:方小春,陈进勇.对角映射的推广及其性质[J].厦门理工学院学报,2008,16(3):43-48.
作者姓名:方小春  陈进勇
作者单位:同济大学应用数学系,上海,200092
摘    要:首先给出了性质P的等价定义及其证明,并将对角映射从保单位元的情况推广到一般定义,研究了对角映射的传递性等性质及其在C^*-代数分类中的作用.

关 键 词:对角映射  对角AH代数  性质P

The Extention of Diagonal Mapping and Its Properties
FANG Xiao-chun,CHEN Jin-yong.The Extention of Diagonal Mapping and Its Properties[J].Journal of Xiamen University of Technology,2008,16(3):43-48.
Authors:FANG Xiao-chun  CHEN Jin-yong
Institution:( Department of Mathematics, Tongji University, Shanghai 200092, China)
Abstract:In this paper,we have firstly given an equivalent definition of Property P,extended the conception of unital diagonal maps to general case,and studied its properties of transitivity and so on and its importance in the classification of C*-algebras.
Keywords:diagonal mapping  diagonal AH algebra  property P
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