On Compact and Fredholm Operators over C*-algebras and a New Topology in the Space of Compact Operators

DOI10.1017/is008004001jkt034zbMath1163.47032arXivmath/0504548OpenAlexW2132962103MaRDI QIDQ3533790

A. S. Mishchenko, Anwar A. Irmatov

Publication date: 24 October 2008

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504548

zbMATH Keywords

\(C^*\)-algebraFredholm operatorcompact operator\(K\)-groupHilbert \(C^*\)-moduleindex of Fredholm operator

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (Semi-) Fredholm operators; index theories (47A53) Topological (K)-theory (55N15) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (3)

On various generalizations of semi-\(\mathcal{A}\)-Fredholm operators ⋮ \(K\)-theory from the point of view of \(C^\ast\)-algebras and Fredholm representations ⋮ On operators with closed range and semi-Fredholm operators over \(W^*\)-algebras

Cites Work

• On a new topology in the space of Fredholm operators
• A set of maps from \(K\) to \(\mathrm{End}_ A(\ell _ 2(A))\) isomorphic to \(\mathrm{End}_{A(K)}(\ell _ 2(A(K)))\). Applications
• Vektorraumbündel und der Raum der Fredholm-Operatoren

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