Compact Abelian Prime Actions on Von Neumann Algebras

DOI10.2307/2001383zbMath0699.46049OpenAlexW4237102418MaRDI QIDQ3477515

Klaus Thomsen

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001383

zbMATH Keywords

fixed point algebrabihomomorphismprime actionsemifinite injective von Neumann algebra

Mathematics Subject Classification ID

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

Related Items (3)

Rohlin flows on von Neumann algebras ⋮ Locally compact separable abelian group actions on factors with the Rokhlin property ⋮ Compact Abelian group actions on injective factors

Cites Work

• Ergodic actions by compact groups on C*-algebras
• Duality for crossed products and the structure of von Neumann algebras of type III
• Actions of compact Abelian groups on semifinite injective factors
• Action of discrete amenable groups on von Neumann algebras
• Cohomology and extensions of Neumann algebras. I
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• The structure of a von Neumann algebra with a homogeneous periodic state
• Inner Product Modules Arising from Compact Automorphism Groups of Von Neumann Algebras
• Duality Theory for Covariant Systems
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