C*-crossed products by partial actions and actions of inverse semigroups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152380The 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 semigroup action.22 pages, Plain texFunctional AnalysisOperator AlgebrasC*-crossed products by partial actions and actions of inverse semigroupstext