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<i>C</i>*-crossed products by partial actions and actions of inverse semigroups

<i>C</i>*-crossed products by partial actions and actions of inverse semigroups

Abstract The recently developed theory of partial actions of discrete groups on C *-algebras is extended. A related concept of actions of inverse semigroups on C *-algebras is defined, including covariant representations and crossed products. The main result is that every partial crossed product is a crossed product by a …