有限维实C^＊—代数

Finite Dimensional Real C-Algebras

本文对有限维实Ｃ￣＊－代数的构造定理用算子代数方法给出了一个证明。

In this note, we give a proof by means of operator algebra method for the structure theorem of finite dimensional real C￣*-algebras,namely,suppose A is such a C￣*-algebra,then A≌M_(n1)(D_1)···M_(nk)(D_k),where D_i=R(the real field),C(the complex field)or H(the quaternion field)