Geodesic
Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 33-40

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We prove that predual of real part of von Newmann algebra is strongly facially symmetric space if and only if is it a direct sum of Abelian algebra and algebra of $I_2$ type. At that, neutral strongly facially symmetric space is predual to Abelian algebra, only.
Mots-clés : face
Keywords: projector, von Neumann algebra, side-symmetric space. 
@article{IVM_2018_5_a4,
     author = {M. M. Ibragimov and K. K. Kudaibergenov and Zh. Kh. Seipullaev},
     title = {Facially symmetric spaces and predual ones of {Hermitian} part of von {Neumann} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {33--40},
     publisher = {mathdoc},
     number = {5},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_5_a4/}
}
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M. M. Ibragimov; K. K. Kudaibergenov; Zh. Kh. Seipullaev. Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2018), pp. 33-40. http://geodesic.mathdoc.fr/item/IVM_2018_5_a4/