Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems

DOI10.1134/S1061920818040118zbMath1415.46038OpenAlexW2905180193MaRDI QIDQ1714009

Evgenij V. Troitsky

Publication date: 30 January 2019

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920818040118

zbMATH Keywords

contractibility of the group of invertible elementsHilbert $C^*$-moduleKuiper theorem

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (2)

On Kuiper type theorems for uniform Roe algebras ⋮ Geometric essence of ``compact operators on Hilbert \(C^\ast\)-modules

Cites Work

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• Quantization of branched coverings
• Contractibility of the full general linear group of the \(C^ *\)-Hilbert module \(\ell _ 2(A)\)
• On the contractability of the unitary group of the Hilbert space over a C*-algebra
• A topological criterion for almost orthocomplementation of all functionals on \(\ell_2(C(X))\)
• Hilbert \(C^*\) and \(W^*\)-modules and their morphisms
• Geometry and topology of operators on Hilbert \(C^*\)-modules
• Approximately uniformly locally finite graphs
• Hilbert C^*-modules from group actions: beyond the finite orbits case
• K-Theory and Multipliers of Stable C ∗ -Algebras
• Quasi-orthogonalization of functionals on \(l_2(A)\)

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