论文标题

产品的构建$*$ - 通过免费累积物的概率空间

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

论文作者

Bose, Arup, Mukherjee, Soumendu Sundar

论文摘要

众所周知,自由独立性等同于消失的混合自由累积物。简短说明的目的是使用它作为freeness的定义并依靠自由累积物而不是时刻来构建$*$ - 概率空间的免费产品。

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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