Von Neumann entropy of the angle operator between a pair of intermediate subalgebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929749365882880 |
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| author | Bakshi, Keshab Chandra Guin, Satyajit Pal, Biplab |
| author_facet | Bakshi, Keshab Chandra Guin, Satyajit Pal, Biplab |
| contents | Given a pair of intermediate $C^*$-subalgebras of a unital inclusion of simple $C^*$-algebras with a conditional expectation of finite Watatani index, we discuss the corresponding angle operator and its Fourier transform. We provide a calculable formula for the von Neumann entropy of the (Fourier) dual angle operator for a large class of quadruple of simple $C^*$-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01696 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Von Neumann entropy of the angle operator between a pair of intermediate subalgebras Bakshi, Keshab Chandra Guin, Satyajit Pal, Biplab Operator Algebras Functional Analysis 46L37, 47L40, 46L05, 43A30, 94A15 Given a pair of intermediate $C^*$-subalgebras of a unital inclusion of simple $C^*$-algebras with a conditional expectation of finite Watatani index, we discuss the corresponding angle operator and its Fourier transform. We provide a calculable formula for the von Neumann entropy of the (Fourier) dual angle operator for a large class of quadruple of simple $C^*$-algebras. |
| title | Von Neumann entropy of the angle operator between a pair of intermediate subalgebras |
| topic | Operator Algebras Functional Analysis 46L37, 47L40, 46L05, 43A30, 94A15 |
| url | https://arxiv.org/abs/2401.01696 |