Champs continus d'espaces hilbertiens et de $C^*$-algèbres

DOI10.24033/bsmf.1596zbMath0127.33102OpenAlexW2583712585WikidataQ102982034 ScholiaQ102982034MaRDI QIDQ5334586

Publication date: 1963

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1963__91__227_0

zbMATH Keywords

functional analysis

Related Items (89)

On a generalised Connes-Hochschild-Kostant-Rosenberg theorem ⋮ BUNDLE GERBES APPLIED TO QUANTUM FIELD THEORY ⋮ Continuous fields of $C^*$-algebras arising from extensions of tensor $C^*$-categories ⋮ Non-commutative vector bundles for non-unital algebras ⋮ Schatten classes for Hilbert modules over commutative $C^\ast $-algebras ⋮ Traces sur les $C^*$-algèbres ⋮ Unnamed Item ⋮ Geometric $K$-homology and the Freed-Hopkins-Teleman theorem ⋮ Differential cocycles and Dixmier-Douady bundles ⋮ A Dixmier-Douady theory for strongly self-absorbing $C^\ast$-algebras ⋮ On JB$^*$-triples defined by fibre bundles ⋮ Tannaka duality for proper Lie groupoids ⋮ An equivariant Brauer group and actions of groups on $C^*$-algebras ⋮ The index of projective families of elliptic operators ⋮ Unnamed Item ⋮ Equivariant Brauer and Picard groups and a Chase-Harrison-Rosenberg exact sequence ⋮ $2-C^{*}$-categories with non-simple units ⋮ Frobenius structures over Hilbert $C^*$-modules ⋮ Multiplicative vector fields on bundle gerbes ⋮ Embedding $C^*$-algebra extensions into AF algebras ⋮ Infinite loop spaces and positive scalar curvature ⋮ Proper asymptotic unitary equivalence in KK-theory and projection lifting from the corona algebra ⋮ The two definitions of the index difference ⋮ Approximation in a Banach space defined by a continuous field of Banach spaces ⋮ Quasi-locality for étale groupoids ⋮ Representations of algebras by continuous sections ⋮ Index theory in spaces of manifolds ⋮ Convolutions of vector fields-I ⋮ Homotopy equivalence in unbounded $KK$-theory ⋮ Deformations of algebroid stacks ⋮ Commutativity of the Haagerup tensor product and base change for operator modules ⋮ A semi-equivariant Dixmier-Douady invariant ⋮ A Dixmier-Douady theorem for Fell algebras ⋮ The Clifford algebra bundle on loop space ⋮ Homotopy classification of homogeneous projections in the corona algebra of $C(X,B)$ for a graph $X$ ⋮ Deformation of a projection in the multiplier algebra and projection lifting from the corona algebra of a non-simple $C^\ast$-algebra ⋮ A Serre-Swan theorem for bundles of bounded geometry ⋮ Induced $C^*$-complexes in metaplectic geometry ⋮ Unnamed Item ⋮ The Weyl bundle ⋮ Morphismes $K$-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes) ⋮ Representations of orbifold groupoids ⋮ A globalization of the Hahn-Banach theorem ⋮ Properly infinite $C(X)$-algebras and $K_{1}$-injectivity ⋮ Equivariant twisted real $K$-theory of compact Lie groups ⋮ T-duality and the bulk-boundary correspondence ⋮ Normality of algebras over commutative rings and the Teichmüller class. III: Examples ⋮ Twisted K-theory of differentiable stacks ⋮ The higher twisted index theorem for foliations ⋮ Graded Brauer groups of a groupoid with involution ⋮ The noncommutative geometry of Yang-Mills fields ⋮ Real Baum-Connes assembly and T-duality for torus orientifolds ⋮ The homotopy groups of the automorphism groups of Cuntz-Toeplitz algebras ⋮ Algebraic Cohomology of Topological Groups ⋮ Sectional representation of Banach modules ⋮ Classifying Hilbert bundles ⋮ $T$-duality for torus bundles with $H$-fluxes via noncommutative topology ⋮ The $C^*$-algebra of a vector bundle and fields of Cuntz algebras ⋮ Classifying Hilbert bundles. 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II ⋮ Fastautomorphe Funktionen auf komplexen Räumen ⋮ Locally trivial W∗-bundles ⋮ The Topological Bloch-Floquet Transform and Some Applications ⋮ Hilbert $C^*$ and $W^*$-modules and their morphisms ⋮ Geometry and topology of operators on Hilbert $C^*$-modules ⋮ An introduction to Nachbin spaces ⋮ Hölder continuity of the spectra for aperiodic Hamiltonians ⋮ Dimension functions and traces on C*-algebras ⋮ Skew products of relations and the structure of simple $C^*$-algebras ⋮ Twisted K-theory in $g>1$ from D-branes ⋮ OBSTRUCTIONS TO A GENERAL CHARACTERIZATION OF GRAPH CORRESPONDENCES

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