Operator space Lp embedding theory I

Abstract

Given 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 pages