Additive derivations on generalized Arens algebras

2010/10/25 by S. Albeverio, Albeverio, S., Sh. A. Ayupov +5
Mathematics · #46L50 #46L55 #46L57 #46L60 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1010.5117

openalex publication_date 2010/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a von Neumann algebra M with a faithful normal finite trace τ denote by L^Λ(M, τ) the generalized Arens algebra with respect to M. We give a complete description of all additive derivations on the algebra L^Λ(M, τ). In particular each additive derivation on the algebra L^Λ(M, τ), where M is a type II von Neumann algebra, is inner.

Citations

• Additive derivations on algebras of measurable operators

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