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arXiv · 2007.10989

Construction of product $*$-probability spaces via free cumulants

Arup Bose·Soumendu Sundar Mukherjee
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Abstract

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.

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BibTeXRIS

Arup Bose, Soumendu Sundar Mukherjee. 2020-07-21. Construction of product $*$-probability spaces via free cumulants. https://arxiv.org/abs/2007.10989

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