Kasparov products and dual algebras (Q1266261)
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scientific article; zbMATH DE number 1199753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kasparov products and dual algebras |
scientific article; zbMATH DE number 1199753 |
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Kasparov products and dual algebras (English)
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20 April 1999
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\textit{N. Higson's} treatment [J. Funct. Anal. 129, No. 2, 349-363 (1995; Zbl 0828.46060)] of Kasparov's analytic \(K\)-homology theory [\textit{G. G. Kasparov}, Math. USSR, Izv. 9 (1975), 751-792 (1976; Zbl 0337.58006) and ibid. 16, 513-572 (1981; Zbl 0464.46054)] covers the exactness and excision properties of \(K\)-homology, but stops short of the Kasparov product \(K^i(A)\times K^j(B)\to K^{i+ j}(A\otimes B)\). The purpose of this paper is to show that this product itself can be given a ``dual'' Higson's interpretation in terms of the external product in ordinary \(K\)-theory.
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Kasparov's analytic \(K\)-homology
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exactness
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excision
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Kasparov product
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