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Von Neumann Algebras

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Operator Algebras

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 122))

Abstract

Recall (I.9) that a von Neumann algebra is a *-subalgebra M of L(H) for a Hilbert space H, satisfying M = M”. A von Neumann algebra is unital, weakly closed, and contains an abundance of projections.

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Blackadar, B. (2006). Von Neumann Algebras. In: Operator Algebras. Encyclopaedia of Mathematical Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28517-2_3

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