$*$-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

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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.
@article{ZNSL_2005_326_a9,
     author = {M. A. Muratov and V. I. Chilin},
     title = {$*$-algebras of unbounded operators affiliated with a~von {Neumann} algebra},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {326},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_326_a9/}
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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/