We give a necessary condition for a partial action on a ring to have globalization. We also show that every partial action on a C$^*$-algebra satisfying this condition admits a globalization and, finally, we use the linking algebra of a Hilbert module to translate our condition to the realm of partial actions on Hilbert modules.
"Construction of globalizations for partial actions on rings, algebras, C$^*$-algebras and Hilbert bimodules." Rocky Mountain J. Math. 48 (1) 181 - 217, 2018. https://doi.org/10.1216/RMJ-2018-48-1-181