A separable postliminal $C^{\ast }$-algebra without maximal closed ideals
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- by H. Leptin PDF
- Trans. Amer. Math. Soc. 159 (1971), 489-496 Request permission
Abstract:
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 ${C^ \ast }$-algebra ${C^ \ast }(G,X)$ 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.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 159 (1971), 489-496
- MSC: Primary 46.65
- DOI: https://doi.org/10.1090/S0002-9947-1971-0281016-1
- MathSciNet review: 0281016