\(K\)-theory for ring \(C^\ast\)-algebras attached to polynomial rings over finite fields (Q720527)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(K\)-theory for ring \(C^\ast\)-algebras attached to polynomial rings over finite fields |
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\(K\)-theory for ring \(C^\ast\)-algebras attached to polynomial rings over finite fields (English)
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17 October 2011
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Summary: We compute the \(K\)-theory of ring \(C^\ast\)-algebras for polynomial rings over finite fields. The key ingredient is a duality theorem which we had obtained in a previous paper. It allows us to show that the \(K\)-theory of these algebras has a ring structure and to determine explicit generators. Our main result also reveals striking similarities between the number field case and the function field case.
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\(K\)-theory
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ring \(C^\ast\)-algebra
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function field
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polynomial rings over finite fields
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