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

1971
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Transactions of the American Mathematical Society
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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