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arXiv · 1912.10700

Multipliers and Duality for Group Actions

Andrew McKee
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Abstract

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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Andrew McKee. 2019-12-23. Multipliers and Duality for Group Actions. https://arxiv.org/abs/1912.10700

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