Opuscula Math. 35, no. 2 (2015), 251-271
http://dx.doi.org/10.7494/OpMath.2015.35.2.251
Opuscula Mathematica
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.
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- Adam Wegert
- Jagiellonian University, Faculty of Mathematics and Computer Science, ul. Łojasiewicza 6, 30-348 Krakow, Poland
- Communicated by Aurelian Gheondea.
- Received: 2014-04-14.
- Revised: 2014-07-31.
- Accepted: 2014-08-06.
- Published online: 2014-11-18.
