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arXiv · 1703.01317

Complete metric approximation property for $q$-Araki-Woods algebras

Stephen Avsec·Michael Brannan·Mateusz Wasilewski
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Abstract

By adapting an ultraproduct technique of Junge and Zeng, we prove that radial completely bounded multipliers on $q$-Gaussian algebras transfer to $q$-Araki-Woods algebras. As a consequence, we establish the $w^{\ast}$-complete metric approximation property for all $q$-Araki-Woods algebras. We apply the latter result to show that the canonical ultraweakly dense C$^\ast$-subalgebras of $q$-Araki-Woods algebras are always QWEP.

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Stephen Avsec, Michael Brannan, Mateusz Wasilewski. 2017-03-03. Complete metric approximation property for $q$-Araki-Woods algebras. https://doi.org/10.1016/j.jfa.2017.08.004

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