Geodesic
$*$-algebras of unbounded operators affiliated with a von Neumann algebra
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 183-197 
M. A. Muratov; V. I. Chilin. $*$-algebras of unbounded operators affiliated with a von Neumann algebra. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XIII, Tome 326 (2005), pp. 183-197. http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a9/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In the paper, the $*$-algebras of measurable operators, locally measurable operators, and $\tau$-measurable operators associated with von Neumann algebra $M$ are considered. Conditions under which some of these algebras coincide are given.

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