Decomposable partial actions

We define the decomposition property for partial actions of discrete groups on C⁎-algebras. Decomposable systems appear naturally in practice, and many commonly occurring can be decomposed into with property. For instance, any action a finite group is an iterated extension decomposable systems. Partial are always globalizable amenable, regardless acting group, their globalization explicitly described terms certain global sub-systems. A direct computation crossed products also carried out. show that behave ways like (even when infinite), which makes study particularly accessible. example, there exists canonical faithful conditional expectation onto fixed point algebra, moreover corner product natural way. (Both these facts general false groups.) As application, we freeness topological equivalent to its algebra being Morita product. by example this fails groups.