  Given a partial action of a discrete group $G$ on a Hausdorff, locally
compact, totally disconnected topological space $X$, we consider the
correponding partial action of $G$ on the algebra $L_c(X)$ consisting of all
locally constant, compactly supported functions on $X$, taking values in a
given field $K$. We then study the ideal structure of the algebraic partial
crossed product $L_c(X)\rtimes G$. After developping a theory of induced
ideals, we show that every ideal in $L_c(X)\rtimes G$ may be obtained as the
intersection of ideals induced from isotropy groups, thus proving an algebraic
version of the Effros-Hahn conjecture.
