Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
type: Item
instance of: scholarly article
title: Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
zbMATH Open document ID: 0646.46063
DOI: 10.1007/BF01442857
author: Marc A. Rieffel
published in: Mathematische Annalen
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164530
review text: A number of results are obtained concerning when a continuous field (suitably defined) of cocycles, or of actions, leads to a continuous field of twisted group algebras, or of crossed product \(C^*\)-algebras. The approach is by considering upper and lower continuity separately.
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 4054348
zbMATH Keywords: continuous field of twisted group algebras
zbMATH Keywords: crossed product \(C^*\)- algebras
zbMATH Keywords: considering upper and lower continuity separately
MaRDI profile type: Publication
cites work: Systèmes dynamiques non commutatifs et moyennabilité. (Non commutative dynamical systems and amenability)
cites work: Q3481963
cites work: Deformation theory and quantization. I: Deformations of symplectic structures
cites work: On the Equivalence of Twisted Group Algebras and Banach ∗ -Algebraic Bundles
cites work: Representations of Twisted Group Algebras
cites work: Q3320942
cites work: Lifting problems and local reflexivity for \(C^ *\)-algebras
cites work: Q3663887
cites work: An extension of Mackey’s method to Banach *-algebraic bundles
cites work: Induced representations and Banach \(^*\)-algebraic bundles. With an appendix due to A. Douady and L. Dal Soglio-Herault
cites work: Cross sections for quotient maps of locally compact groups.
cites work: Q3331747
cites work: Q4084812
cites work: Fell-Buendel und verallgemeinerte \(\mathcal L^1\)-Algebren
cites work: Verallgemeinerte \(L^ 1\)-Algebren
cites work: Verallgemeinerte \(L^1\)-Algebren und projektive Darstellungen lokal kompakter Gruppen. I, II
cites work: Twisted crossed products of C*-algebras
cites work: Q3205815
cites work: Deformation quantization of Heisenberg manifolds
cites work: Central Twisted Group Algebras
cites work: Geometric invariants of the quantum Hall effect
cites work: Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
description: scientific article; zbMATH DE number 4054348