A new look at KK-theory (Q1098137)
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scientific article; zbMATH DE number 4036732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new look at KK-theory |
scientific article; zbMATH DE number 4036732 |
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A new look at KK-theory (English)
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1987
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We describe the Kasparov group KK(A,B) as the set of homotopy classes of homomorphisms from an algebra qA associated with A into \({\mathcal K}\otimes B\). The algebra qA consists of `K-theory differential forms' over A. Its construction is dual to that of \(M_ 2(A)\). The analysis of qA and of its interplay with \(M_ 2(A)\) gives the basic results of KK-theory.
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Kasparov product
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Kasparov KK-theory
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\(C^ *\)-algebras
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homotopy classes of homomorphisms
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K-theory differential forms
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