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Injective von Neumann algebras


Author: Richard I. Loebl
Journal: Proc. Amer. Math. Soc. 44 (1974), 46-48
MSC: Primary 46L10
DOI: https://doi.org/10.1090/S0002-9939-1974-0341120-4
MathSciNet review: 0341120
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Abstract: Injective von Neumann algebras are defined, and a characterization of them as complemented subspaces of $ \mathcal{L}(H)$ is given. Several examples and applications are discussed.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0341120-4
Keywords: Von Neumann algebras, injective, completely positive maps, property $ P$, Banach space projection of norm one
Article copyright: © Copyright 1974 American Mathematical Society

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