Multipliers and Duality for Group Actions

被引：0
作者：
Andrew McKee
机构：
[1] University of Białystok,Faculty of Mathematics
来源：
Journal of Fourier Analysis and Applications | 2021年 / 27卷
关键词：
Schur multiplier; Herz–Schur multiplier; Group action; Crossed product; Coaction; 46L07; 47L65;
D O I：
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学科分类号：
摘要：
We define operator-valued Schur and Herz–Schur multipliers in terms of module actions, and show that the standard properties of these multipliers follow from well-known facts about these module actions and duality theory for group actions. These results are applied to study the Herz–Schur multipliers of an abelian group acting on its Pontryagin dual: it is shown that a natural subset of these Herz–Schur multipliers can be identified with the classical Herz–Schur multipliers of the direct product of the group with its dual group.
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