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Operator space Lp embedding theory I

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arxiv 0706.0550 v1 pith:U2HGFT6B submitted 2007-06-04 math.OA math.PR

Operator space Lp embedding theory I

classification math.OA math.PR
keywords embeddingoperatorspacealgebracompletelyconstructequippedfree
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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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