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.
|Original language||English (US)|
|Number of pages||15|
|Journal||Journal of the Australian Mathematical Society|
|State||Published - Aug 1997|
ASJC Scopus subject areas
- Statistics and Probability