C1-algebras with finite duals |
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Authors: | Horst Behncke Horst Leptin |
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Affiliation: | Fakultät für Mathematik, Universität Bielefeld, 4800 Bielefeld, West Germany |
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Abstract: | A forest is a finite partially ordered set F such that for x, y, z?F with x ? z, y ? z one has x ? y or y ? x. In this paper we give a complete characterization of all separable C1-algebras with a finite dual , for which Prim is a forest with inclusion as partial order. These results are extended to certain separable C1-algebras with a countable dual. As an example these results are used to characterize completely all separable C1-algebras with a three point dual. |
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