矩阵代数的态空间

State Space of Matrix Algebra

摘要: 应用C*-代数的纯态与极大正则左理想的一一对应关系,从解决矩阵代数的极大正则左理想的构造出发,构造出了矩阵代数的纯态,从而解决了矩阵代数的态空间的构造。最后运用C*-代数的对偶空间与态空间的结构关系,解决了矩阵代数-这个非交换Banach代数的对偶空间的构造。

Abstract: In this paper, the maximal regular ideal of Matrix Algebra was formed. And using the relation of pure state and maximal regular ideal of C*-algebra, the pure state of Matrix Algebra was formed because the Matrix Algebra is a C*-algebra. so the structure of state space and dual space of Matrix Algebra was formed.And using the relation of dual space and state space of C*-algebra, the dual space of Matrix Algebra was formeal.