C*-Crossed Products by Twisted Inverse Semigroup Actions

Abstract

The notions of Busby-Smith and Green type twisted actions are extended to discrete unital inverse semigroups. The connection between the two types, and the connection with twisted partial actions, are investigated. Decomposition theorems for the twisted crossed products are given.

31 pages, Plain TeX. J. Operator Theory (to appear)

References in corpus (1)

• On a groupoid construction for actions of certain inverse semigroups

Cited by in corpus (6)

• Inverse semigroup actions on groupoids
• Twisted actions and regular Fell bundles over inverse semigroups
• Inverse semigroup expansions and their actions on C*-algebras
• $\mathrm{K}$-theory and homotopies of twists on ample groupoids
• On an order based construction of a groupoid from an inverse semigroup
• Partial cohomology of groups and extensions of semilattices of abelian groups