Classification for certain simple real rank zero \(C^*\)-algebras (Q1923969)
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scientific article; zbMATH DE number 934265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification for certain simple real rank zero \(C^*\)-algebras |
scientific article; zbMATH DE number 934265 |
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Classification for certain simple real rank zero \(C^*\)-algebras (English)
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13 October 1996
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Given a simple real rank zero \(C^*\)-algebra \(A\) which is the inductive limit of a sequence of finite direct sums of matrix algebras over finite connected graphs, the author shows that its graded group \(K_0(A)\oplus K_1(A)\), together with the graded dimension range, is a complete invariant.
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simple real rank zero \(C^*\)-algebra
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inductive limit
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finite direct sums of matrix algebras over finite connected graphs
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graded group
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