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Irreducible * Representations of Real C~*-Algebras

Irreducible * Representations of Real C~*-Algebras
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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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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.
关键词 Real C-algebra Pure real state Irreducible * representation Transitivity theorem Real C-algebra Pure real state Irreducible * representation Transitivity theorem
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