Irreducible * Representations of Real C~*-Algebras  

出　　处：《Acta Mathematica Sinica,English Series》1995年第4期381-388,共8页数学学报（英文版）

基　　金：Partially supported by the National Natural Science Foundation of China.

摘　　要：In this paper,we show that a topologically irreducible * representation of a real C~*- algebra is also algebraically irreducible.Moreover,the properties of pure real states on a real C~*- algebra and their left kernels are discussed.In this paper,we show that a topologically irreducible * representation of a real C~*- algebra is also algebraically irreducible.Moreover,the properties of pure real states on a real C~*- algebra and their left kernels are discussed.

关 键 词：Real C-algebra Pure real state Irreducible * representation Transitivity theorem 

分 类 号：O1[理学—数学]