Stanisław Goldstein, Adam Paszkiewicz
Abstract
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Abstract Infinite measures on von Neumann algebras are classified according to properties analogous to those from classical measure theory. These properties are carefully examined in case of semifinite von Neumann algebras. Some examples are also given and the direction for further research indicated.
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Abstract Infinite measures on von Neumann algebras are classified according to properties analogous to those from classical measure theory. These properties are carefully examined in case of semifinite von Neumann algebras. Some examples are also given and the direction for further research indicated.
Key concepts: Affiliated operator, Von Neumann architecture, Abelian von Neumann algebra, Von Neumann algebra, Tomita–Takesaki theory, Mathematics, Pure mathematics, Von Neumann's theorem