Operator space embedding of Lq into Lp

Details Operator space embedding of Lq into Lp Operator space embedding of Lq into Lp

2006-06-23

arxiv.org/abs/math/0606596v1

Mathematics

Operator Algebras

59 pages

Scientific paper

Let 1 \le p < q \le 2 and let M be any von Neumann algebra. We use recent
techniques from free harmonic analysis to construct a completely isomorphic
embedding of Lq(M) (equipped with its natural operator space structure) into
Lp(A) for some sufficiently large von Neumann algebra A. We show that
hyperfiniteness and the QWEP are preserved in our construction.

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