Additive derivations on algebras of measurable operators

Shavkat A. Ayupov, Karimbergen K. Kudaybergenov

Given a von Neumann algebra $M$ we introduce so called central extension $mix(M)$ of $M$. We show that $mix(M)$ is a *-subalgebra in the algebra $LS(M)$ of all locally measurable o…