Angles Between Intermediate Operator Subalgebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910010526662656 |
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| author | Gupta, Ved Prakash Sharma, Deepika |
| author_facet | Gupta, Ved Prakash Sharma, Deepika |
| contents | Motivated by [2] and [5], the notions of interior and exterior angles between a pair of compatible intermediate W*-subalgebras of an inclusion of W*-algebras with a normal conditional expectation with finite probabilistic index are introduced. This is then employed effectively to define the interior angle between a pair of compatible intermediate C*-subalgebras of an inclusion of non-unital C*-algebras with a conditional expectation with finite Watatani index. It is also shown that the interior angle is stable under the minimal tensor product of unital C*-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03694 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Angles Between Intermediate Operator Subalgebras Gupta, Ved Prakash Sharma, Deepika Operator Algebras Motivated by [2] and [5], the notions of interior and exterior angles between a pair of compatible intermediate W*-subalgebras of an inclusion of W*-algebras with a normal conditional expectation with finite probabilistic index are introduced. This is then employed effectively to define the interior angle between a pair of compatible intermediate C*-subalgebras of an inclusion of non-unital C*-algebras with a conditional expectation with finite Watatani index. It is also shown that the interior angle is stable under the minimal tensor product of unital C*-algebras. |
| title | Angles Between Intermediate Operator Subalgebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2602.03694 |