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Moment Series and R-transform of the Generating Operator of $L(F_{N})$

Ilwoo Cho
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Abstract

In this paper, we will consider the free probability theory of free group factor $L(F_{N}),$ where $F_{k}$ is the free group with $k$-generators. We compute the moment series and the R-transform of the generating operator, $T=g_{1}+...+g_{N}+g_{1}^{-1}+..+g_{N}^{-1}.$

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Ilwoo Cho. 2004-05-06. Moment Series and R-transform of the Generating Operator of $L(F_{N})$. https://arxiv.org/abs/math/0405108

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