The Cuntz comparison in the standard \(\mathrm C^*\)-algebra (Q1724558)
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scientific article; zbMATH DE number 7022749
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cuntz comparison in the standard \(\mathrm C^*\)-algebra |
scientific article; zbMATH DE number 7022749 |
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The Cuntz comparison in the standard \(\mathrm C^*\)-algebra (English)
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14 February 2019
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Summary: The Cuntz comparison, introduced by Cuntz in early 1978, associates each \(\mathrm C^*\)-algebra with an abelian semigroup which is an invariant for the classification of the nuclear \(\mathrm C^*\)-algebras and called the Cuntz semigroup. In this paper, we study the Cuntz comparison in the standard \(\mathrm C^*\)-algebra. We characterize the Cuntz comparison in terms of the dimension of the operator range. Also, we consider the structure of the semilinear map which preserves the Cuntz comparison.
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0.9372866
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0.89906853
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0.8963793
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0.8934891
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