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

DOI10.1007/BF01694068zbMath0494.46064MaRDI QIDQ1169136

James A. Mingo

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Fredholm operatorsmultiplier algebrastrictly positive elementcontractability of the unitary groupcountable approximate identityHilbert C*- module

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) 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

KK-theory of reduced free-product \(C^*\)-algebras ⋮ Manuilov algebra, \(C^\ast\)-Hilbert modules, and Kuiper type theorems ⋮ Contractibility of the full general linear group of the \(C^ *\)-Hilbert module \(\ell _ 2(A)\) ⋮ Spectrum and analytical indices of the \(C^{*}\)-algebra of Wiener--Hopf operators ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms ⋮ 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

Cites Work

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• Derivations of matroid C\(^*\)-algebras. II
• The homotopy type of the unitary group of Hilbert space
• On the homotopy type of the group of regular elements of semifinite von Neuman algebras
• Double Centralizers and Extensions of C ∗ -Algebras