Ideal structure of multiplier algebras of simple C\(^{*}\)-algebras with real rank zero (Q2715685)
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scientific article; zbMATH DE number 1599841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ideal structure of multiplier algebras of simple C\(^{*}\)-algebras with real rank zero |
scientific article; zbMATH DE number 1599841 |
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20 May 2001
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C*-algebra
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multiplier algebra
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real rank zero
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stable rank
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refinement monoid
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0.9345618
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0.92970973
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0.9257284
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0.9232024
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Ideal structure of multiplier algebras of simple C\(^{*}\)-algebras with real rank zero (English)
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The author gives a description of the monoid of Murray-von Neumann equivalence classes of projections for multiplier algebras of a wide class of \(\sigma\)-unital simple C*-algebras with real rank zero and stable rank one. It is shown that in some cases the quotient of the multiplier algebra by any closed ideal that properly contains the C*-algebra has stable rank one.
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