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

Ilwoo Cho

math.OAarXiv:math/0405108

Abstract

In this paper, we will consider the free probability theory of free group factor L(FN), where Fk is the free group with k-generators. We compute the moment series and the R-transform of the generating operator, T=g1+...+gN+g1-1+..+gN-1.

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