In a Banach space of operators integrable with respect to a tracial state $\tau$ on a von Neumann algebra $M$, convergence is analyzed.

We study idempotent tau-measurable operators affiliated to a von Neumann algebra

Let τ be a faithful normal semifinite trace on a von Neumann algebraM, and M^u be a unitary part of M. We prove a new property of rearrangements of some tripotents in M. If V ∈M is an isometry (or a coisometry) and U - V ...

We introduce two classes of tau-measurable operators affiliated with a von Neumann algebra.