Automorphisms of central extensions of type I von Neumann algebras
Sergio AlbeverioInstitut für Angewandte Mathematik and HCM Rheinische Friedrich-Wilhelms-Universität Bonn 53115 Bonn, GermanyShavkat AyupovInstitute of Mathematics and Information Technologies Uzbekistan Academy of Sciences 100125 Tashkent, Uzbekistan and Abdus Salam International Centre for Theoretical Physics (ICTP) Trieste, ItalyKarimbergen KudaybergenovKarakalpak State University 230113 Nukus, UzbekistanR. T. DjumamuratovKarakalpak State University 230113 Nukus, Uzbekistan
ABI
Abstract
Given a von Neumann algebra $M$ we consider its central extension $E(M)$. For type I von Neumann algebras, $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary automorphi
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