scientific article; zbMATH DE number 3800363

zbMath0507.46061MaRDI QIDQ4744815

V. A. Kasimov

Publication date: 1982

Full work available at URL: https://eudml.org/doc/71425

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zbMATH Keywords

homotopy groupsKuiper's theorem on trivial homotopy typemorphisms having an adjointtriviality of all homotopic groupsbounded morphisms of a countable type Hilbert modul over a C*-algebra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (4)

Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems ⋮ Contractibility of the full general linear group of the \(C^ *\)-Hilbert module \(\ell _ 2(A)\) ⋮ Geometry and topology of operators on Hilbert \(C^*\)-modules ⋮ A set of maps from \(K\) to \(\mathrm{End}_ A(\ell _ 2(A))\) isomorphic to \(\mathrm{End}_{A(K)}(\ell _ 2(A(K)))\). Applications

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