Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators
Sergio AlbeverioInstitut für Angewandte Mathematik and HCM , Rheinische Friedrich-Wilhelms- Universität Bonn , Endenicher Allee 60 , D-53115 Bonn , GermanyKarimbergen KudaybergenovDepartment of Mathematics , Karakalpak state university , Ch. Abdirov 1 , 230113 , Nukus , UzbekistanR. T. DjumamuratovDepartment of Mathematics , Karakalpak state university , Ch. Abdirov 1 , 230113 , Nukus , Uzbekistan
2011en
ABI
Annotatsiya
Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ We describe class of von Neumann algebras $M$ for which the algebra $E(M)$ coincides with the algebra $S(M)$ -- the algebra of all measurable operators with respect to $M,$ and with $S(M, τ)$ -- the algebra of all $τ$-measurable operators with respect to $M.$
Hali tarjima qilinmagan
Identifikatorlar
Iqtiboslar va manbalar
0 ta iqtibos7 ta foydalanilgan manba