Complete metric approximation property for $q$-Araki-Woods algebras
Operator Algebras
2020-05-18 v2 Functional Analysis
Abstract
By adapting an ultraproduct technique of Junge and Zeng, we prove that radial completely bounded multipliers on -Gaussian algebras transfer to -Araki-Woods algebras. As a consequence, we establish the -complete metric approximation property for all -Araki-Woods algebras. We apply the latter result to show that the canonical ultraweakly dense C-subalgebras of -Araki-Woods algebras are always QWEP.
Keywords
Cite
@article{arxiv.1703.01317,
title = {Complete metric approximation property for $q$-Araki-Woods algebras},
author = {Stephen Avsec and Michael Brannan and Mateusz Wasilewski},
journal= {arXiv preprint arXiv:1703.01317},
year = {2020}
}
Comments
24 pages