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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09380 |
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| _version_ | 1866915930257227776 |
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| author | Gundelach, Jan |
| author_facet | Gundelach, Jan |
| contents | We extend the notion of representability dimension to partial actions and introduce a notion of dual representability dimension for global actions by finite abelian groups. We show that the Rokhlin dimension of a partial action by a finite abelian group agrees with the dual representability dimension of the dual action on the partial crossed product, while the representability dimension of a partial action agrees with the Rokhlin dimension of its dual. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09380 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Duality of partial Rokhlin dimension Gundelach, Jan Operator Algebras We extend the notion of representability dimension to partial actions and introduce a notion of dual representability dimension for global actions by finite abelian groups. We show that the Rokhlin dimension of a partial action by a finite abelian group agrees with the dual representability dimension of the dual action on the partial crossed product, while the representability dimension of a partial action agrees with the Rokhlin dimension of its dual. |
| title | Duality of partial Rokhlin dimension |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2604.09380 |