A new look at KK-theory |
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| Authors: | Joachim Cuntz |
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| Affiliation: | (1) Centre de Physique Théorique, CNRS, Luminy, Case 907, F-13288 Marseiile Cedex 9, France |
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| Abstract: | We describe the Kasparov group KK(A, B) as the set of homotopy classes of homomorphisms from an algebra qA associated with A into K B. The algebra qA consists of  K-theory differential forms over A. Its construction is dual to that of M2(A). The analysis of qA and of its interplay with M2(A) gives the basic results of KK-theory.Partially supported by NSF. |
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| Keywords: | Kasparov theory C*-algebras |
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