C^*-bundles and C_0(X)-algebras
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Publication:5285262
DOI10.1512/iumj.1996.45.1086zbMath0872.46029OpenAlexW2902772129MaRDI QIDQ5285262
Publication date: 12 October 1997
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.1996.45.1086
twisted crossed producttwisted actionsection algebra\(C_ 0(X)\)-algebraupper semi-continuous \(C^*\)-bundle
Noncommutative dynamical systems (46L55) 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 (29)
Equivariant \(E\)-theory for groupoids acting on \(C^{\ast}\)-algebras ⋮ Bundles of \(C^{*}\)-categories ⋮ Essential crossed products for inverse semigroup actions: simplicity and pure infiniteness ⋮ Pseudo-differential extension for graded nilpotent Lie groups ⋮ Localizing gauge theories from noncommutative geometry ⋮ Complex quantum groups and a deformation of the Baum–Connes assembly map ⋮ Integrable and proper actions on \(C^*\)-algebras, and square-integrable representations of groups ⋮ The structure of the Brauer group and crossed products of $C_0(X)$-linear group actions on $C_0(X,\mathcal K)$ ⋮ Geometric structure of dimension functions of certain continuous fields ⋮ 𝐾-stability of continuous 𝐶(𝑋)-algebras ⋮ Some remarks on group bundles and \(C^*\) dynamical systems ⋮ Continuous spectral decompositions of Abelian group actions on \(C^{*}\)-algebras ⋮ The E-theoretic descent functor for groupoids ⋮ The \(C_0(X)\)-algebra of a net and index theory ⋮ Continuous maps on ideal spaces of \(C^*\)-algebras ⋮ Generalized fixed point algebras and square-integrable group actions ⋮ Continuous fields of \(C^*\)-algebras over finite dimensional spaces ⋮ Continuous-trace groupoid crossed products ⋮ Crossed products by \(C_0(X)\)-actions ⋮ Continuity of Spectra in Rieffel’s Pseudodifferential Calculus ⋮ Lifting theorems for completely positive maps ⋮ Finite decomposition rank for virtually nilpotent groups ⋮ On the continuity of spectra for families of magnetic pseudodifferential operators ⋮ Representable \(E\)-theory for \(C_0(X)\)-algebras ⋮ Strict quantizations of almost Poisson manifolds ⋮ An equivariant Brauer semigroup and the symmetric imprimitivity theorem ⋮ Strict deformation quantization for a particle in a magnetic field ⋮ Extensions of bundles of C*-algebras ⋮ A topological invariant for continuous fields of Cuntz algebras II
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