Consider the ℬ-valued probability space (𝒜,E,ℬ), where 𝒜 is a tracial von Neumann algebra. We extend the theory of operator-valued free probability to the algebra of affiliated operators 𝒜̃. For a ...

This paper is concerned with the commutant of unbounded operators affiliated with finite von Neumann algebras. We prove an unbounded Fuglede–Putnam type theorem and present examples of closed ...