Abstract
In this work, we deal with partial (co)actions of multiplier Hopf algebras on not necessarily unital algebras. Our main goal is to construct a Morita context relating the coinvariant algebra [Formula: see text] with a certain subalgebra of the smash product [Formula: see text]. Besides that, we present the notion of partial Galois coaction, which is closely related to this Morita context.
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