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

Stephen Avsec

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arXiv · 1110.4918

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

Stephen Avsec

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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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Stephen Avsec. 2012-12-10. Strong Solidity of the q-Gaussian Algebras for all -1 < q < 1. https://arxiv.org/abs/1110.4918

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