Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras (Q1210527)
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scientific article; zbMATH DE number 179555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras |
scientific article; zbMATH DE number 179555 |
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Finite sums and products of commutators in inductive limit \(C^ \ast\)- algebras (English)
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13 June 1993
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Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple \(AF\)-algebras are extended to \(C^*\)- algebras that are inductive limits of finite direct sums of homogeneous \(C^*\)-algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.
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\(C^*\)-algebras that are inductive limits of finite direct sums of homogeneous \(C^*\)-algebras
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\(AF\)-algebras
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unital simple inductive limits of finite direct sums of circle algebras
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