Opuscula Math. 35, no. 2 (2015), 251-271
Steering projections in von Neumann algebras
Abstract. A steering projection of an arbitrary von Neumann algebra is introduced. It is shown that a steering projection always exists and is unique (up to Murray-von Neumann equivalence). A general decomposition of arbitrary projections with respect to a steering projection is established.
Keywords: Murray-von Neumann order, central projection, steering projection.
Mathematics Subject Classification: 46L10.