Inclusions and positive cones of von Neumann algebras

Details Inclusions and positive cones of von Neumann algebras Inclusions and positive cones of von Neumann algebras

2008-01-28

arxiv.org/abs/0801.4259v2

J. Operator Theory, Vol. 64, Issue 2 (2010), 435-452

Mathematics

Operator Algebras

20 pages, no figure

Scientific paper

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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