Inclusions and positive cones of von Neumann algebras

Yoh Tanimoto
January 28, 2008
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.
open access link

Keywords: 
none