A post-group theoretic perspective on the operator-valued S-transform in free probability
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910343848001536 |
|---|---|
| author | Ebrahimi-Fard, Kurusch Ringeard, Timothé |
| author_facet | Ebrahimi-Fard, Kurusch Ringeard, Timothé |
| contents | We investigate the algebraic structure underlying Voiculescu's S-transform in the setting of operator-valued free probability. We show that its twisted factorisation property gives rise to post-groups, crossed morphisms, as well as pre- and post-Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A post-group theoretic perspective on the operator-valued S-transform in free probability Ebrahimi-Fard, Kurusch Ringeard, Timothé Operator Algebras Group Theory 46L54 (Primary) 22E60, 17B38, 16W60 (Secondary) We investigate the algebraic structure underlying Voiculescu's S-transform in the setting of operator-valued free probability. We show that its twisted factorisation property gives rise to post-groups, crossed morphisms, as well as pre- and post-Lie algebras. |
| title | A post-group theoretic perspective on the operator-valued S-transform in free probability |
| topic | Operator Algebras Group Theory 46L54 (Primary) 22E60, 17B38, 16W60 (Secondary) |
| url | https://arxiv.org/abs/2402.16450 |