Duality type results and ergodic actions of simple Lie groups on operator algebras

DOI10.1216/rmjm/1181073124zbMath0737.46045OpenAlexW2026814336MaRDI QIDQ1173649

Costel Peligrad

Publication date: 25 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073124

zbMATH Keywords

noncommutative extensionsimple Lie groups\(W^*\)-dynamical systemsinduced actionextension of Moore's ergodicity theoreminduced \(C^*\)-algebraMackey-Moore duality principle

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Semisimple Lie groups and their representations (22E46)

Cites Work

• Noncommutative topological dynamics and compact actions on \(C^*\)- algebras
• Orbit spaces of unitary representations, ergodic theory, and simple Lie groups
• Asymptotic properties of unitary representations
• Covariance algebras in field theory and statistical mechanics
• Invariant states and asymptotic abelianness
• Ergodicity of Flows on Homogeneous Spaces
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