On an intermediate bivariant \(K\)-theory for \(C^*\)-algebras (Q344490)
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scientific article; zbMATH DE number 6655309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an intermediate bivariant \(K\)-theory for \(C^*\)-algebras |
scientific article; zbMATH DE number 6655309 |
Statements
On an intermediate bivariant \(K\)-theory for \(C^*\)-algebras (English)
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22 November 2016
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A new bivariant equivariant \(K\)-theory, \(KE_G\), for separable \(C^*\)-algebras acted on by a locally compact \(\sigma\)-compact group \(G\), intermediate between the \(KK\)-theory of G.~G.~Kasparov and the \(E\)-theory of A.~Connes and N.~Higson, is constructed. The bifunctor \(KE_G\) enjoys main properties of \(KK\) and \(E\), including the associative product \(KE_G(A,D)\times KE_G(D,B)\to KE_G(A,B)\). It is yet unknown, how much the new bifunctor differs from \(KK\) and from \(E\).
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\(C^*\)-algebra
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\(KK\)-theory
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\(E\)-theory
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Kasparov product
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