On certain free product factors via an extended matrix model

Details On certain free product factors via an extended matrix model On certain free product factors via an extended matrix model

1992-11-28

arxiv.org/abs/funct-an/9211011v1

J. Funct. Anal. 112 (1993) p.31-60

Mathematics

Operator Algebras

19+3 pages, AMSTeX 2.1 (figures in LaTeX 2.09), KD-at-UCB-001

Scientific paper

Voiculescu's random matrix model for freeness is extended to the
non-Gaussian case and also the case of constant block diagonal matrices.
Thus we are able to investigate free products of free group factors with matrix
algebras and with the hyperfinite II$_1$ factor, showing that
$$ L(F_n) * R = L(F_(n+1)) $$ for $n \ge 1$, (where $L(F_1)=L(Z)$).

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