Mathematics – Operator Algebras
Scientific paper
2004-05-06
Mathematics
Operator Algebras
12 pages
Scientific paper
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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