Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators

2011/10/21 by Sergio Albeverio, Albeverio, S., Karimbergen Kudaybergenov +3
Mathematics · #46L51 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1110.4779

openalex publication_date 2011/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Additive derivations on algebras of measurable operators

Related

• Some remarks on derivations in algebras of measurable operators
• Additive derivations on algebras of measurable operators
• Structure of derivations on various algebras of measurable operators for type I von Neumann algebras
• Derivations on the Algebra of τ-Compact Operators Affiliated with a Type I von Neumann Algebra
• Automorphisms of central extensions of type I von Neumann algebras