Abstract of a paper by Marius Junge
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.OA/0504255 or http://arXiv.org/abs/math.OA/0504255 or by email in unzipped form by transmitting an empty message with subject line uget 0504255 or in gzipped form by using subject line get 0504255 to: math@arXiv.org.
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Dale Alspach