Operator Space Embedding of Schatten p-Classes Into Von Neumann Algebra Preduals |
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| Authors: | Marius Junge Javier Parcet |
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| Affiliation: | (1) Department of Mathematics, University of Illinois at Urbana-Champaign, 273 Altgeld Hall, 1409 W. Green Street, Urbana, IL 61801, USA;(2) Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, Consejo Superior de Investigaciones Científicas C/ Serrano 121, 28006 Madrid, Spain |
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| Abstract: | Let X1 and X2 be subspaces of quotients of R  OH and C  OH respectively. We use new free probability techniques to construct a completely isomorphic embedding of the Haagerup tensor product  into the predual of a sufficiently large QWEP von Neumann algebra. As an immediate application, given any 1 < q ≤ 2, our result produces a completely isomorphic embedding of  (equipped with its natural operator space structure) into  with  a QWEP von Neumann algebra. Received: June 2006, Revision: June 2007, Accepted: September 2007 |
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| Keywords: | KeywordHeading" > and phrases: Noncommutative L p space operator space free random variable |
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