Opuscula Math. 35, no. 2 (2015), 251-271

Opuscula Mathematica

Steering projections in von Neumann algebras

Adam Wegert

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
  • Received: 2014-04-14.
  • Revised: 2014-07-31.
  • Accepted: 2014-08-06.
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Cite this article as:
Adam Wegert, Steering projections in von Neumann algebras, Opuscula Math. 35, no. 2 (2015), 251-271, http://dx.doi.org/10.7494/OpMath.2015.35.2.251

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