Local automorphisms of nest subalgebras of factor von Neumann algebras

摘要

In this paper, it is proved that every surjective weakly continuous linear local automorphism of nest subalgebras with non-trivial nests of factor von Neumann algebras is an automorphism; and that every surjective linear 2-local automorphism, of nest algebras with non-trivial nests of factor von Neumann algebras is an automorphism. (c) 2005 Elsevier Inc. All rights reserved.