The structure of crossed product \(C^*\)-algebras: A proof of the generalized Effros-Hahn conjecture

DOI10.1007/BF01389885zbMath0396.22009OpenAlexW2321485685WikidataQ122875166 ScholiaQ122875166MaRDI QIDQ1253335

Elliot C. Gootman, Jonathan M. Rosenberg

Publication date: 1979

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142652

zbMATH Keywords

StructureAmenable GroupsCrossed Product C*-AlgebrasGeneralized Effros-Hahn ConjectureIrreducible Unitary RepresentationLie GroupsNormal SubgroupsPrimitive Ideals of C*-AlgebrasStabilizer

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) General properties and structure of complex Lie groups (22E10) General properties and structure of locally compact groups (22D05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

On the ideals of ultragraph Leavitt path algebras ⋮ Rokhlin dimension for flows ⋮ Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups ⋮ Relating diffraction and spectral data of aperiodic tilings: towards a Bloch theorem ⋮ The ideal structure of Steinberg algebras ⋮ Ideals of étale groupoid algebras and Exel's Effros-Hahn conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary representations of group extensions. I
• The structure of algebras of operator fields
• The primitive ideal space of solvable Lie groups
• Characters of connected Lie groups
• Nontransitive quasi-orbits in Mackey's analysis of group extensions
• Orbit structure and countable sections for actions of continuous groups
• The local structure of twisted covariance algebras
• Covariance algebras in field theory and statistical mechanics
• Covariant representations of \(C^ *\)-algebras and their locally compact automorphism groups
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• Families of induced representations
• Caractères des algèbres de Banach involutives
• A theorem of Stone and von Neumann
• Induced representation of locally compact groups. I
• Dual Et Quasi-Dual D'Une Algebre de Banach Involutive
• A Decomposition Theory for Representations of C ∗ -Algebras
• Locally compact transformation groups and 𝐶*-algebras
• Sur Les Espaces Localement Quasi-Compacts
• Unitary representations of solvable Lie groups
• Primitive Ideals of C ∗ -Algebras Associated with Transformation Groups
• Imprimitivity for Representations of Locally Compact Groups I