On the contracted \(l^1\)-algebra of a polycyclic monoid (Q854360)
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scientific article; zbMATH DE number 5079776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the contracted \(l^1\)-algebra of a polycyclic monoid |
scientific article; zbMATH DE number 5079776 |
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On the contracted \(l^1\)-algebra of a polycyclic monoid (English)
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11 December 2006
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Summary: Let \(P(X)\) denote the polycyclic monoid (Cuntz semigroup) on a nonempty set \(X\) and let \(A\) denote the Banach algebra \(l^1(P(X))/Z\), where \(Z\) is the (closed) ideal spanned by the zero of \(P(X)\). Then \(A\) is primitive. Moreover, \(A\) is simple if and only if \(X\) is infinite.
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0.9373702
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0.90822834
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0.88068306
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0.8782819
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