Jordan Isomorphisms on Nest Subalgebras

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 the two nest subalgebras algMβ and algMγ is either an isomorphism or an anti-isomorphism.

Saved in:
Bibliographic Details
Main Author: Aili Yang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/864792
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832556377600425984
author Aili Yang
author_facet Aili Yang
author_sort Aili Yang
collection DOAJ
description 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 the two nest subalgebras algMβ and algMγ is either an isomorphism or an anti-isomorphism.
format Article
id doaj-art-05995be7d47544488e2df1b598c2ff6f
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-05995be7d47544488e2df1b598c2ff6f2025-02-03T05:45:32ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/864792864792Jordan Isomorphisms on Nest SubalgebrasAili Yang0College of Science, Xi’an University of Science and Technology, Xi’an 710054, ChinaThis 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 the two nest subalgebras algMβ and algMγ is either an isomorphism or an anti-isomorphism.http://dx.doi.org/10.1155/2015/864792
spellingShingle Aili Yang
Jordan Isomorphisms on Nest Subalgebras
Advances in Mathematical Physics
title Jordan Isomorphisms on Nest Subalgebras
title_full Jordan Isomorphisms on Nest Subalgebras
title_fullStr Jordan Isomorphisms on Nest Subalgebras
title_full_unstemmed Jordan Isomorphisms on Nest Subalgebras
title_short Jordan Isomorphisms on Nest Subalgebras
title_sort jordan isomorphisms on nest subalgebras
url http://dx.doi.org/10.1155/2015/864792
work_keys_str_mv AT ailiyang jordanisomorphismsonnestsubalgebras