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 $R^{\underset{̲}{c o A}}$ with a certain subalgebra of the smash product $R # Â$ . Besides that, we present the notion of partial Galois coaction, which is closely related to this Morita context.

Communicated by J. Gómez-Torrecillas

Keywords:

AMSC: 16T99, 20L05

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