Weak exactness and amalgamated free product of von Neumann algebras
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917618002165760 |
|---|---|
| author | Toyosawa, Kai |
| author_facet | Toyosawa, Kai |
| contents | We show that the amalgamated free product of weakly exact von Neumann algebras is weakly exact. This is done by using a universal property of Toeplitz-Pimsner algebras and a locally convex topology on bimodules of von Neumann algebras, which is used to characterize weakly exact von Neumann algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12833 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak exactness and amalgamated free product of von Neumann algebras Toyosawa, Kai Operator Algebras We show that the amalgamated free product of weakly exact von Neumann algebras is weakly exact. This is done by using a universal property of Toeplitz-Pimsner algebras and a locally convex topology on bimodules of von Neumann algebras, which is used to characterize weakly exact von Neumann algebras. |
| title | Weak exactness and amalgamated free product of von Neumann algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2403.12833 |