Multipliers and Duality for Group Actions
Operator Algebras
2019-12-24 v1
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.
Keywords
Cite
@article{arxiv.1912.10700,
title = {Multipliers and Duality for Group Actions},
author = {Andrew McKee},
journal= {arXiv preprint arXiv:1912.10700},
year = {2019}
}