Nontransitive quasi-orbits in Mackey's analysis of group extensions

DOI10.1007/BF02392411zbMath0334.22004MaRDI QIDQ1228844

Arlan Ramsay

Publication date: 1976

Published in: Acta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Unitary representations of locally compact groups (22D10) Topological transformation groups (57S99) Induced representations for locally compact groups (22D30) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items

Ergodic group theory ⋮ Measurable group actions are essentially Borel actions ⋮ Fourier-Stieltjes algebras of locally compact groupoids ⋮ Amenable Pairs of Groups and Ergodic Actions and the Associated von Neumann Algebras ⋮ Nearly Modular Orthocomplemented Lattices ⋮ Non-monomial multiplier representations of abelian groups ⋮ The structure of crossed product \(C^*\)-algebras: A proof of the generalized Effros-Hahn conjecture ⋮ Groups admitting ergodic actions with generalized discrete spectrum ⋮ On the Cohomological Equivalence of a Class of Functions Under an Irrational Rotation of Bounded Type ⋮ The structure of crossed product C*-algebras: A proof of the generalized Effros-Hahn conjecture ⋮ Reconstruction of a factor from measures on Takesaki's unitary equivalence relation ⋮ Cohomology of step functions under irrational rotations ⋮ Topologies on measured groupoids ⋮ The Regular Representations of Measure Groupoids

Cites Work

• Unitary representations of group extensions. I
• Subobjects of virtual groups
• Virtual group homomorphisms with dense range
• Boolean duals of virtual groups
• Type I \(C^ *\)-algebras
• Transformation groups and \(C^ *\)-algebras
• Point realizations of transformation groups
• Virtual groups and group actions
• Induced representation of locally compact groups. I
• Induced representations of locally compact groups. II. The Frobenius reciprocity theorem
• Infinite-dimensional group representations
• Intertwining Forms for Summable Induced Representations
• ERGODIC THEORY, GROUP THEORY AND DIFFERENTIAL GEOMETRY
• Unitary representations of solvable Lie groups