Tingley's problem on finite von Neumann algebras

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Tingley's problem through the facial structure of operator algebras (2017, background): “Tingley’s problem in the setting of operator algebras was first considered by Tanaka [22], and he later solved Tingley’s problem affirmatively when X and Y are finite von Neumann algebras [23].”
A survey on Tingley’s problem for operator algebras (2018, background): “Tanaka proves in [52] that a surjective isometry between the unit spheres of two finite von Neumann algebras maps unitary elements to unitary elements.”