Moment Series and R-transform of the Generating Operator of $L(F

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71080In 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}.$12 pagesOperator AlgebrasFunctional Analysis47-xxMoment Series and R-transform of the Generating Operator of $L(F_{N})$text