Construction of product $*$-probability spaces via free cumulants
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866917915334279168 |
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| author | Bose, Arup Mukherjee, Soumendu Sundar |
| author_facet | Bose, Arup Mukherjee, Soumendu Sundar |
| contents | It is well known that free independence is equivalent to the vanishing of mixed free cumulants. The purpose of this short note is to build free products of $*$-probability spaces using this as the definition of freeness and relying on free cumulants instead of moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_10989 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Construction of product $*$-probability spaces via free cumulants Bose, Arup Mukherjee, Soumendu Sundar Operator Algebras Combinatorics Probability 46L54 It is well known that free independence is equivalent to the vanishing of mixed free cumulants. The purpose of this short note is to build free products of $*$-probability spaces using this as the definition of freeness and relying on free cumulants instead of moments. |
| title | Construction of product $*$-probability spaces via free cumulants |
| topic | Operator Algebras Combinatorics Probability 46L54 |
| url | https://arxiv.org/abs/2007.10989 |