C*-crossed products by partial actions and actions of inverse semigroups
Abstract
Description
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 semigroup action.
22 pages, Plain tex
22 pages, Plain tex