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arXiv · 0801.4259

Inclusions and positive cones of von Neumann algebras

Yoh Tanimoto
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Abstract

We consider cones in a Hilbert space associated to two von Neumann algebras and determine when one algebra is included in the other. If a cone is assocated to a von Neumann algebra, the Jordan structure is naturally recovered from it and we can characterize projections of the given von Neumann algebra with the structure in some special situations.

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Yoh Tanimoto. 2011-01-30. Inclusions and positive cones of von Neumann algebras. https://arxiv.org/abs/0801.4259

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