On conjugate systems with respect to completely positive maps
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917050894516224 |
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| author | Lee, Yoonkyeong |
| author_facet | Lee, Yoonkyeong |
| contents | We study the operator-valued partial derivative associated with covariance matrices on a von Neumann algebra B. We provide a cumulant characterization for the existence of conjugate variables and study some structure implications of their existence. Namely, we show that the center of the von Neumann algebra generated by B and its relative commutant is the center of B. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14336 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On conjugate systems with respect to completely positive maps Lee, Yoonkyeong Operator Algebras We study the operator-valued partial derivative associated with covariance matrices on a von Neumann algebra B. We provide a cumulant characterization for the existence of conjugate variables and study some structure implications of their existence. Namely, we show that the center of the von Neumann algebra generated by B and its relative commutant is the center of B. |
| title | On conjugate systems with respect to completely positive maps |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2412.14336 |