2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129841Given any $1 < q \le 2$, we use new free probability techniques to construct a completely isomorphic embedding of $\ell_q$ (equipped with its natural operator space structure) into the predual of a sufficiently large QWEP von Neumann algebra.This is the most accessible part of our paper Operator space embedding of Lq into Lp, 28 pages. 28 pagesOperator AlgebrasProbability46L07; 46L51; 46L52; 46L54text