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Strong Solidity of the q-Gaussian Algebras for all -1 < q < 1

Published 21 Oct 2011 in math.OA | (1110.4918v3)

Abstract: The main result of this paper is to establish the weak* completely contractive approximation property (w*CCAP) for the q-Gaussian algebras for all values of q \in [-1, 1] and any number of generators. We use this to establish that the q-Gaussian algebras are strongly solid in the sense of Popa and Ozawa for q \in (-1, 1).

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