Local automorphisms of nest subalgebras of factor von Neumann algebras

✍ Scribed by Jian-Hua Zhang; Ai-Li Yang; Fang-Fang Pan

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 205 KB
• Volume: 402
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2005.01.005

✦ Synopsis

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.