Operator space Lp embedding theory I

Mathematics – Operator Algebras

Scientific paper

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This is the most accessible part of our paper Operator space embedding of Lq into Lp, 28 pages. 28 pages

Scientific paper

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.

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