This is an announcement for the paper "Operator spaces and Araki-Woods factors" by Marius Junge.

Abstract: We show that the operator Hilbert space OH introduced by Pisier embeds into the predual of the hyerfinite III1 factor. The main new tool is a Khintchine type inequality for the generators of the CAR algebra with respect to a quasi-free state. Our approach yields a Khintchine type inequality for the q-gaussian variables for all values q between -1 and 1. These results are closely related to recent results of Pisier and Shlyakhtenko in the free case.

Archive classification: Operator Algebras; Functional Analysis

Mathematics Subject Classification: 46L53, 47L25

The source file(s), carcomp.tex: 194521 bytes, is(are) stored in gzipped form as 0504255.gz with size 59kb. The corresponding postcript file has gzipped size 255kb.

Submitted from: junge@math.uiuc.edu

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http://arXiv.org/abs/math.OA/0504255

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