Non-isomorphism of reduced free group $C^\ast$-algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915788968951808 |
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| author | Gao, David Elayavalli, Srivatsav Kunnawalkam |
| author_facet | Gao, David Elayavalli, Srivatsav Kunnawalkam |
| contents | Using a new approach involving embedding spaces in II$_1$ factors with plenty of freely independent Haar unitaries, we prove that $C^\ast_r(\mathbb{F}_n)\ncong C^\ast_r(\mathbb{F}_m)$ for $n \neq m$. This recovers the seminal result of Pimsner and Voiculescu with a short new proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09995 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-isomorphism of reduced free group $C^\ast$-algebras Gao, David Elayavalli, Srivatsav Kunnawalkam Operator Algebras 46L05, 46L09, 46L35 Using a new approach involving embedding spaces in II$_1$ factors with plenty of freely independent Haar unitaries, we prove that $C^\ast_r(\mathbb{F}_n)\ncong C^\ast_r(\mathbb{F}_m)$ for $n \neq m$. This recovers the seminal result of Pimsner and Voiculescu with a short new proof. |
| title | Non-isomorphism of reduced free group $C^\ast$-algebras |
| topic | Operator Algebras 46L05, 46L09, 46L35 |
| url | https://arxiv.org/abs/2602.09995 |