The algebraic \(K\)-theory of operator algebras (Q1366295)
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scientific article; zbMATH DE number 1059652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The algebraic \(K\)-theory of operator algebras |
scientific article; zbMATH DE number 1059652 |
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The algebraic \(K\)-theory of operator algebras (English)
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10 May 1998
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The author studies the algebraic \(K\)-theory of \(C^*\)-algebras, i.e., when the algebras are considered purely algebraically as rings, forgetting the topology. It is proved that commutative \(C^*\)-algebras are \(K\)-regular in all degrees, that is, all their \(N^r K_i\)-groups vanish. Extensions and generalizations of the Fischer--Prasolov theorem comparing algebraic and topological \(K\)-theory with finite coefficients are given. Polynomial rings over commutative \(C^*\)-algebras are studied.
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\(C^*\)-algebras
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algebraic \(K\)-theory
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\(K\)-theory with finite coefficients
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stable rank
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