Resumen de Description of derivations on locally measurable operator algebras of type I

Sergio A. Albeverio, Shavkat A. Ayupov, Karimbergen K. Kudaybergenov

• Given a type I von Neumann algebra M let LS(M) be the algebra of all locally measurable operators a±liated with M: We give a complete description of all derivations on the algebra LS(M): In particular, we prove that if M is of type I1 then every derivation on LS(M) is inner.