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Chain rules for canonical state extensions on von Neumann algebras

Carlo Cecchini, Dėnes Petz

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Abstract

In previous papers we introduced and studied the extension of a state defined on a von Neumann subalgebra to the whole of the von Neumann algebra with respect to a given state. This was done by using the standard form of von Neumann algebras. In the case

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What this paper is about

In previous papers we introduced and studied the extension of a state defined on a von Neumann subalgebra to the whole of the von Neumann algebra with respect to a given state. This was done by using the standard form of von Neumann algebras. In the case

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Available abstract

In previous papers we introduced and studied the extension of a state defined on a von Neumann subalgebra to the whole of the von Neumann algebra with respect to a given state. This was done by using the standard form of von Neumann algebras. In the case

Key concepts: Abelian von Neumann algebra, Von Neumann architecture, Von Neumann algebra, Mathematics, Affiliated operator, Extension (predicate logic), Subalgebra, State (computer science)

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