A few remarks on intermediate subalgebras of an inclusion of C*-algebras
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914257835130880 |
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| author | Bakshi, Keshab Chandra Guin, Satyajit Jana, Debabrata |
| author_facet | Bakshi, Keshab Chandra Guin, Satyajit Jana, Debabrata |
| contents | We show that the angle between intermediate $C^*$-subalgebras of an inclusion of simple $C^*$-algebras with finite Watatani index is stable. The notion of angle is instrumental in providing a bound for the cardinality of the lattice of intermediate subalgebras for an irreducible inclusion of simple $C^*$-algebras. We improve the existing upper bound for the cardinality of this set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07244 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A few remarks on intermediate subalgebras of an inclusion of C*-algebras Bakshi, Keshab Chandra Guin, Satyajit Jana, Debabrata Operator Algebras Functional Analysis 46L05, 47L40 We show that the angle between intermediate $C^*$-subalgebras of an inclusion of simple $C^*$-algebras with finite Watatani index is stable. The notion of angle is instrumental in providing a bound for the cardinality of the lattice of intermediate subalgebras for an irreducible inclusion of simple $C^*$-algebras. We improve the existing upper bound for the cardinality of this set. |
| title | A few remarks on intermediate subalgebras of an inclusion of C*-algebras |
| topic | Operator Algebras Functional Analysis 46L05, 47L40 |
| url | https://arxiv.org/abs/2311.07244 |