A separable postliminal $C\sp{\ast} $-algebra without maximal closed ideals

H. Leptin
1971 Transactions of the American Mathematical Society  
Let G be the free abelian group with a countable number of generators. We construct a separable locally compact G-transformation space X without closed minimal invariant subsets, such that the corresponding C*-algebra C*(G, X) has the properties mentioned in the title. Using X we also give an example of a transformation space (G,Z) without closed minimal invariant subset, on which G acts freely.
doi:10.1090/s0002-9947-1971-0281016-1 fatcat:ginzcqagivbyhdanloxmtxc6ae