A set of maps from \(K\) to \(\mathrm{End}_ A(\ell _ 2(A))\) isomorphic to \(\mathrm{End}_{A(K)}(\ell _ 2(A(K)))\). Applications

DOI10.1007/BF01000337zbMath0579.46033OpenAlexW2316197086MaRDI QIDQ1067174

Michael Frank

Publication date: 1985

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01000337

zbMATH Keywords

compact spacetheoremcountably generated Hilbert \(A\)-modulesKasparov stabilizationoperators on Hilbert \(C^*\)-modules

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (4)

On Compact and Fredholm Operators over C*-algebras and a New Topology in the Space of Compact Operators ⋮ On a new topology in the space of Fredholm operators ⋮ A topological criterion for almost orthocomplementation of all functionals on \(\ell_2(C(X))\) ⋮ Geometry and topology of operators on Hilbert \(C^*\)-modules

Cites Work

• On the contractability of the unitary group of the Hilbert space over a C*-algebra
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