In the collection "Aspects of Positivity in Functional Analysis. Proceedings of the Conference held on the Occasion of H.H. Schaefer's 60th Birthday", there is a contribution by Denes Petz titled "Almost uniform convergence on the predual of a von Neumann algebra and an ergodic theorem". However, for the key part of the proof of his noncommutative maximal inequality, he refers to a 1985 preprint titled "An individual ergodic theorem in the predual of a von Neumann algebra" by himself. I could not find an article with this title or anything close that could match.
My question: Have the contents of this preprint been published or, if not, is the preprint still available somewhere?
There is a reference to this result, still as a preprint, in a 1992 paper by Bartoszewicz with the title "On Almost Uniform Convergence of Some Sequences of States on Infinite Tensor Products of Von Neumann Algebras". So it seems like there was still no published version at this time.