Strong $C^*$-rigidity of the Heisenberg groups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911256724635648 |
|---|---|
| author | Beltita, Ingrid Beltita, Daniel |
| author_facet | Beltita, Ingrid Beltita, Daniel |
| contents | We prove a strong rigidity property of the Heisenberg groups, that is, they can be distinguished from any other 1-connected Lie groups via their unitary dual spaces, in particular via the Morita equivalence class of their group $C^*$-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08904 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strong $C^*$-rigidity of the Heisenberg groups Beltita, Ingrid Beltita, Daniel Representation Theory Operator Algebras Primary 22E27, Secondary 22D25, 22E25, 17B30 We prove a strong rigidity property of the Heisenberg groups, that is, they can be distinguished from any other 1-connected Lie groups via their unitary dual spaces, in particular via the Morita equivalence class of their group $C^*$-algebras. |
| title | Strong $C^*$-rigidity of the Heisenberg groups |
| topic | Representation Theory Operator Algebras Primary 22E27, Secondary 22D25, 22E25, 17B30 |
| url | https://arxiv.org/abs/2508.08904 |