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Commutativity of the Haagerup tensor product and base change for operator modules
Journal of Topology and Analysis ( IF 0.8 ) Pub Date : 2021-11-15 , DOI: 10.1142/s179352532150062x
Tyrone Crisp 1
Affiliation  

By computing the completely bounded norm of the flip map on the Haagerup tensor product C0Y1C0XC0Y2 associated to a pair of continuous mappings of locally compact Hausdorff spaces Y1XY2, we establish a simple characterization of the Beck-Chevalley condition for base change of operator modules over commutative C-algebras, and a descent theorem for continuous fields of Hilbert spaces.



中文翻译:

Haagerup 张量积的交换性和算子模块的基础变化

通过计算 Haagerup 张量积上翻转图的完全有界范数C01C0XC02与局部紧豪斯多夫空间的一对连续映射相关1X2,我们建立了 Beck-Chevalley 条件的简单表征,用于交换算子模的基数变化C*-代数,以及希尔伯特空间连续域的下降定理。

更新日期:2021-11-15
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