Journal of Operator Theory

Volume 64, Issue 2, Fall 2010 pp. 435-452.

Inclusions and positive cones of von Neumann algebras

Authors: Yoh Tanimoto
Author institution: Graduate school of mathematical sciences, University of Tokyo, Komaba, Tokyo, 153-8914, Japan

Summary: 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 associated 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.

Keywords: Von Neumann algebras, positive cones, half-sided modular inclusions

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