FILOMAT, vol.32, no.10, pp.3429-3434, 2018 (SCI-Expanded)
Let X be a Tychonoff G-space, G be a finite discrete group and A be a dense and invariant subspace of X. In this paper, by means of Gelfand's method, we construct a compactification of the orbit space A/G. As an application, we show that the set of maximal ideals of even function ring with Stone topology is a compactification of non-negative rationals.