Inclusions and positive cones of von Neumann algebras

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.

arXiv comment20 pages, no figure

Cited by in corpus (1)

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