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

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

1996-02-21

arxiv.org/abs/funct-an/9602006v1

Mathematics

Operator Algebras

22 pages, Plain tex

Scientific paper

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.

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