Complete metric approximation property for q -Araki–Woods algebras
Complete metric approximation property for q -Araki–Woods algebras
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q -Araki 伍兹代数的完整度量近似性质
DOI：
10.1016/j.jfa.2017.08.004
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发表时间：
2018
影响因子：
1.7
通讯作者：
Wasilewski, Mateusz
中科院分区：
文献类型：
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作者：
Avsec, Stephen;Brannan, Michael;Wasilewski, Mateusz
利用Junge和Zeng的超积技巧，证明了q-Gaussian代数上的径向完全有界乘子可转移到q-Araki-Woods代数上.作为结果，我们建立了所有q-Araki-Woods代数的w-完备度量逼近性质.我们应用后一个结果证明了q-Araki-Woods代数的标准超弱稠密C_∞-子代数总是QWEP的。
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⁎-complete metric approximation property for all q-Araki–Woods algebras. We apply the latter result to show that the canonical ultraweakly dense C⁎-subalgebras of q-Araki–Woods algebras are always QWEP.