Contractibility of the full general linear group of the \(C^ *\)-Hilbert module \(\ell _ 2(A)\)

DOI10.1007/BF01083496zbMath0624.46047MaRDI QIDQ578551

Evgenij V. Troitsky

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

classifying spaceshomotopy typeoperator K-theorygeneral linear group of the \(C^ *\)-Hilbert module \(\ell _ 2(A)\)Kuiper type contractibility theorem

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Classification of homotopy type (55P15) (K)-theory and operator algebras (including cyclic theory) (46L80) Topological (K)-theory (55N15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Hilbert algebras (46K15)

Related Items

Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems, Hilbert \(C^*\) and \(W^*\)-modules and their morphisms, 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
• The homotopy type of the unitary group of Hilbert space
• On Spaces Having the Homotopy Type of a CW-Complex
• Inner Product Modules Over B ∗ -Algebras
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