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

Ilwoo Cho

arxiv: math/0405108 · v1 · submitted 2004-05-06 · 🧮 math.OA · math.FA

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

Ilwoo Cho This is my paper

classification 🧮 math.OA math.FA

keywords freegeneratinggroupmomentoperatorr-transformseriescompute

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

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