The structure of crossed product C*-algebras: A proof of the generalized Effros-Hahn conjecture
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Publication:1257108
DOI10.1007/BF01389885zbMath0405.22005OpenAlexW2321485685WikidataQ122875166 ScholiaQ122875166MaRDI QIDQ1257108
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
(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
Some permanence properties of \(C^{*}\)-unique groups, Zeta functions of analytic rings via Euler products, Crossed products whose primitive ideal spaces are generalized trivial \(\hat G\)-bundles, Semi-crossed products of C*-algebras, Pointwise unitary automorphism groups, Locally compact group actions on \(C^ *\)-algebras and compact subgroups, Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups, Applications of the Connes spectrum to C*-dynamical systems. II, Pseudo-differential extension for graded nilpotent Lie groups, Simplicity of crossed products of GCR algebras by abelian groups, Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system, Structure and \(K\)-theory of crossed products by proper actions, *-regularity of some classes of solvable groups, Inducing primitive ideals, The primitive ideal space of twisted covariant systems with continuously varying stabilizers, Fredholm criteria for pseudodifferential operators and induced representations of groupoid algebras, Topological treatments of some results on invariant ideals, Bounded trace \(C^*\)-algebras and integrable actions, Crossed products by actions which are locally unitary on the stabilisers, Applications of the Connes spectrum to C*-dynamical systems. III, Weak containment and tensor products of group representations. II, Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor
Cites Work
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- 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