Relations and trails in lattices of projections in W*-algebras
The paper studies HH-relations in the lattices P(M) of all projections of W*-algebras M. If M is a finite algebra, all these relations are generated by trails in P(M). If M is an infinite countably decomposable factor, they are either generated by trails, or associated with them.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2019
|
| Subjects: | |
| Online Access: | https://repository.londonmet.ac.uk/4902/1/W-ALGEBRAS%20and%20LATTICES%207.pdf |
| _version_ | 1804072391498792960 |
|---|---|
| author | Kissin, Edward |
| author_facet | Kissin, Edward |
| author_sort | Kissin, Edward |
| collection | LMU |
| description | The paper studies HH-relations in the lattices P(M) of all projections of W*-algebras M. If M is a finite algebra, all these relations are generated by trails in P(M). If M is an infinite countably decomposable factor, they are either generated by trails, or associated with them. |
| first_indexed | 2024-07-09T03:58:24Z |
| format | Article |
| id | oai:repository.londonmet.ac.uk:4902 |
| institution | London Metropolitan University |
| language | English |
| last_indexed | 2024-07-09T03:58:24Z |
| publishDate | 2019 |
| publisher | Cambridge University Press |
| record_format | eprints |
| spelling | oai:repository.londonmet.ac.uk:49022019-10-11T10:48:06Z http://repository.londonmet.ac.uk/4902/ Relations and trails in lattices of projections in W*-algebras Kissin, Edward 510 Mathematics The paper studies HH-relations in the lattices P(M) of all projections of W*-algebras M. If M is a finite algebra, all these relations are generated by trails in P(M). If M is an infinite countably decomposable factor, they are either generated by trails, or associated with them. Cambridge University Press 2019 Article PeerReviewed text en https://repository.londonmet.ac.uk/4902/1/W-ALGEBRAS%20and%20LATTICES%207.pdf Kissin, Edward (2019) Relations and trails in lattices of projections in W*-algebras. Proceedings of the Edinburgh Mathematical Society, 62. pp. 1189-1215. ISSN 0013-0915 10.1017/S0013091519000245 |
| spellingShingle | 510 Mathematics Kissin, Edward Relations and trails in lattices of projections in W*-algebras |
| title | Relations and trails in lattices of projections in W*-algebras |
| title_full | Relations and trails in lattices of projections in W*-algebras |
| title_fullStr | Relations and trails in lattices of projections in W*-algebras |
| title_full_unstemmed | Relations and trails in lattices of projections in W*-algebras |
| title_short | Relations and trails in lattices of projections in W*-algebras |
| title_sort | relations and trails in lattices of projections in w algebras |
| topic | 510 Mathematics |
| url | https://repository.londonmet.ac.uk/4902/1/W-ALGEBRAS%20and%20LATTICES%207.pdf |
| work_keys_str_mv | AT kissinedward relationsandtrailsinlatticesofprojectionsinwalgebras |