Sergio Albeverio, Shavkat Ayupov, Karimbergen Kudaybergenov, R. T. Djumamuratov
Abstract
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Given a von Neumann algebra $M$ we consider its central extension $E(M)$. For type I von Neumann algebras, $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary automorphi
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Given a von Neumann algebra $M$ we consider its central extension $E(M)$. For type I von Neumann algebras, $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary automorphi
Key concepts: Von Neumann algebra, Mathematics, Affiliated operator, Abelian von Neumann algebra, Tomita–Takesaki theory, Automorphism, Von Neumann architecture, Extension (predicate logic)