$C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915288932417536 |
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| author | Griseta, Maria Elena Zurlo, Paola |
| author_facet | Griseta, Maria Elena Zurlo, Paola |
| contents | We analyse a notion of $C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras. We provide other notions of statistical independence for $\mathbb{Z}_2$-graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08293 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras Griseta, Maria Elena Zurlo, Paola Operator Algebras Probability 46L06, 46L30, 46L53, 17A70 We analyse a notion of $C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras. We provide other notions of statistical independence for $\mathbb{Z}_2$-graded von Neumann algebras and prove some relationships between them. We provide a characterization for the graded nuclearity property. |
| title | $C^*$-independence for $\mathbb{Z}_2$-graded $C^*$-algebras |
| topic | Operator Algebras Probability 46L06, 46L30, 46L53, 17A70 |
| url | https://arxiv.org/abs/2401.08293 |