On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915495728381952 |
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| author | Bakshi, Keshab Chandra Guin, Satyajit |
| author_facet | Bakshi, Keshab Chandra Guin, Satyajit |
| contents | We show that any depth 2 subfactor with a simple first relative commutant has a unitary orthonormal basis. As a pleasant consequence, we produce new elements in the set of Popa's relative dimension of projections for such subfactors. We also construct infinitely many new elements in the set of relative dimension of projections for subfactors arising from complex Hadamard matrices and bi-unitary matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_13820 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections Bakshi, Keshab Chandra Guin, Satyajit Operator Algebras Functional Analysis 46L37, 46L10 We show that any depth 2 subfactor with a simple first relative commutant has a unitary orthonormal basis. As a pleasant consequence, we produce new elements in the set of Popa's relative dimension of projections for such subfactors. We also construct infinitely many new elements in the set of relative dimension of projections for subfactors arising from complex Hadamard matrices and bi-unitary matrices. |
| title | On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections |
| topic | Operator Algebras Functional Analysis 46L37, 46L10 |
| url | https://arxiv.org/abs/2311.13820 |