TOPOLOGICAL ACTION OF A UNITAL INVERSE SEMIGROUP

Given a unital inverse semigroup S, we define the topological action q of S on a locally compact Hausdorff space X. Also an action of S on the C* -algebra C0(X) corresponding to q is introduced. Topologically freeness of q and the effect of q on α is considered. Finally the notion of semipartial dynamical system (C0(X), S,α ) and some of its properties are discussed.

کلیدواژه ها:

Partial automorphism ، partial action ، partial homeomorphism and topological action