Functor \(N_0\) over category of von Neumann algebras and its connection with operator \(K\)-theory (Q2782146)
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scientific article; zbMATH DE number 1727644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functor \(N_0\) over category of von Neumann algebras and its connection with operator \(K\)-theory |
scientific article; zbMATH DE number 1727644 |
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14 April 2002
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von Neumann algebra
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functor \(N_0\)
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Functor \(N_0\) over category of von Neumann algebras and its connection with operator \(K\)-theory (English)
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The author presents the definition of the \(N\)-functor which is based on the notion of stable equivalence between the normal elements of a von~Neumann algebra. Proposed is the description of the groups \(N_0(A)\) as a family of \(K_0(A)\)-valued mappings for an arbitrary \(W^*\)-algebra \(A\). The possibility is indicated of applying \(N\)-groups for determining the Lefschets numbers (see [\textit{M.~Frank} and \textit{E.~V.~Troitskij}, Funct. Anal. Appl. 30, No. 4, 257--266 (1996; Zbl 0922.58081)]).
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