C*-rigidity of bounded geometry metric spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913724267233280 |
|---|---|
| author | Martínez, Diego Vigolo, Federico |
| author_facet | Martínez, Diego Vigolo, Federico |
| contents | We prove that uniformly locally finite metric spaces with isomorphic Roe algebras must be coarsely equivalent. As an application, we also prove that the outer automorphism group of the Roe algebra of a metric space of bounded geometry is canonically isomorphic to the group of coarse equivalences of the space up to closeness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | C*-rigidity of bounded geometry metric spaces Martínez, Diego Vigolo, Federico Operator Algebras 53C24, 48L89, 51F30, 52C25, 51K05 We prove that uniformly locally finite metric spaces with isomorphic Roe algebras must be coarsely equivalent. As an application, we also prove that the outer automorphism group of the Roe algebra of a metric space of bounded geometry is canonically isomorphic to the group of coarse equivalences of the space up to closeness. |
| title | C*-rigidity of bounded geometry metric spaces |
| topic | Operator Algebras 53C24, 48L89, 51F30, 52C25, 51K05 |
| url | https://arxiv.org/abs/2501.03128 |