Actions of S on C0(X) and ideals of C0(X) ×α S

Document Type: Regular Paper

Authors

Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran

Abstract

Some partial action properties of a group
 
􀜩 on a 􀜥􀗛-algebra 􀜣 are extended to an action of a unital inverse
semigroup
 
􀜵 on 􀜥􀬴􁈺􀜺􁈻. Also, invariant and quotient ideals of 􀜥􀬴􁈺􀜺􁈻 􀵈􀰈 􀜵 are considered.

Keywords