This is an announcement for the paper "Equimeasurabily and isometries in noncommutative Lp-spaces" by Mikael de la Salle.

Abstract: We prove some noncommutative analogues of a theorem by Rudin and Plotkin about equimeasurability and isometries in L_p-spaces. Let 0<p<\infty, p not an even integer. The main result of this paper states that in the category of unital subspaces of noncommutative probability Lp-spaces, the unital completely isometric maps come from *-isomorphisms of the underlying von Neumann algebras. Unfortunately we are only able to treat the case of bounded operators.

Archive classification: math.OA math.FA

Mathematics Subject Classification: 46L53; 46L51; 47L05

Remarks: 11 pages

The source file(s), article_arxiv.bbl: 2056 bytes

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http://front.math.ucdavis.edu/0707.0427

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http://arXiv.org/abs/0707.0427

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