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Inverse semigroup expansions and their actions on $C^{\ast}$-algebras

Inverse semigroup expansions and their actions on $C^{\ast}$-algebras

In this work, we give a presentation of the prefix expansion ${\operatorname{\mathbf {Pr}} (G)}$ of an inverse semigroup $G$ as recently introduced by Lawson, Margolis and Steinberg which is similar to the universal inverse semigroup defined by the second named author in case $G$ is a group. The inverse semigroup …