Ergodic actions of group extensions on von Neumann algebras

DOI10.1017/S0308210500028183zbMath0699.46050OpenAlexW2048885061MaRDI QIDQ3477516

Klaus Thomsen

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500028183

zbMATH Keywords

Neumann algebrastopological extensionAbelian atomic fixed point algebraclassification of ergodic actions of locally compact groups on vonclassification of ergodic actions of locally compact groups on von Neumann algebrascompact Abelian actions such that the fixed point algebra is ofcompact Abelian actions such that the fixed point algebra is of type I with atomic centreergodic actions on finite- dimensional factorstype I with atomic centre

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Ergodic actions by compact groups on C*-algebras
• Representations and automorphisms of the irrational rotation algebra
• Compact ergodic groups of automorphisms
• Actions of discrete amenable groups and groupoids on von Neumann algebras
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• On C*-Diagonals

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