Commutativity of the Haagerup tensor product and base change for operator modules

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2021-11-15 DOI:10.1142/s179352532150062x

Tyrone Crisp

引用次数: 0

Abstract

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

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哈格鲁普张量积的交换性与算子模的基变

通过计算Haagerup张量积[公式:见文]对局部紧化Hausdorff空间[公式:见文]的连续映射的翻转映射的完全有界范数，我们建立了交换[公式:见文]代数上算子模基变化的Beck-Chevalley条件的一个简单刻画，以及Hilbert空间连续域的下降定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.