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Boolean-valued analysis and \(JB\)-algebras - MaRDI portal

Boolean-valued analysis and \(JB\)-algebras (Q1897970)

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scientific article; zbMATH DE number 794621
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Boolean-valued analysis and \(JB\)-algebras
scientific article; zbMATH DE number 794621

    Statements

    Boolean-valued analysis and \(JB\)-algebras (English)
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    20 September 1995
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    In the last decade Boolean-valued models of set theory find some applications to operator algebras and \(C^*\)-algebras in several papers of G. Takeuti, M. Ozawa and the author. The aim of this paper is to show that these Boolean-valued methods can also be used in the situation of JB\(^*\)-algebras, that is the Jordan analogues of \(B^*\)-algebras. Some results of restricted interest are proved.
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    Boolean-valued models of set theory
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    JB\(^*\)-algebras
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