A double commutant theorem for Murray-von Neumann algebras.

  • Zhe Liu
  • Published 2012 in
    Proceedings of the National Academy of Sciences…

Abstract

Murray-von Neumann algebras are algebras of operators affiliated with finite von Neumann algebras. In this article, we study commutativity and affiliation of self-adjoint operators (possibly unbounded). We show that a maximal abelian self-adjoint subalgebra A of the Murray-von Neumann algebra A(f)(R) associated with a finite von Neumann algebra R is the… (More)
DOI: 10.1073/pnas.1203754109

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