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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/864792 |
| id |
doaj-05995be7d47544488e2df1b598c2ff6f |
|---|---|
| record_format |
Article |
| spelling |
doaj-05995be7d47544488e2df1b598c2ff6f2021-07-02T08:17:00ZengHindawi LimitedAdvances 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Aili Yang |
| spellingShingle |
Aili Yang Jordan Isomorphisms on Nest Subalgebras Advances in Mathematical Physics |
| author_facet |
Aili Yang |
| author_sort |
Aili Yang |
| title |
Jordan Isomorphisms on Nest Subalgebras |
| title_short |
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_sort |
jordan isomorphisms on nest subalgebras |
| publisher |
Hindawi Limited |
| series |
Advances in Mathematical Physics |
| issn |
1687-9120 1687-9139 |
| publishDate |
2015-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2015/864792 |
| work_keys_str_mv |
AT ailiyang jordanisomorphismsonnestsubalgebras |
| _version_ |
1721334897743757312 |