因子von Neumann代数中套子代数上的Jordan同构

Jordan Isomorphisms on Nest Subalgebras of Factor von Neumann Algebras

研究了因子yon Neumann代数中套子代数上的Jordan同构,证明了套子代数algMβ和algMγ之间的每一个Jordan同构φ:要么是同构;要么是反同构.

This paper is devoted to the study of Jordan isomorphisms on nest subalgebras of factor von Neumann algebras. It is shown that every Jordan isomorphism φ between two nest subalgebras algMβ and algMγ is either an isomorphism or an anti-isomorphism.