Nonselfadjoint subalgebras associated with compact Abelian group actions on finite von Neumann algebras

DOI10.2748/TMJ/1178229150zbMath0502.46035OpenAlexW2077102947MaRDI QIDQ1172790

Kichi-Suke Saito

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229150

zbMATH Keywords

compact abelian groupcentermaximalitytotal orderfactorArchimedean ordersubdiagonal algebrasspectral subspaces*-automorphismsfaithful normal tracial statecocycles of invariant subspacesweakly closed subalgebraweakly continuous representation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Invariant subspaces of linear operators (47A15) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (3)

Analytic Operator Algebras (Factorization and an Expectation) ⋮ A Note on Cocycles in von Neumann Algebras ⋮ Invariant subspaces for algebras of analytic operators associated with a periodic flow on a finite von Neumann algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant subspaces and cocyles in nonselfadjoint crossed products
• Invariant subspaces for finite maximal subdiagonal algebras
• Nonselfadjoint crossed products. II
• On groups of automorphisms of operator algebras
• On subdiagonal algebras associated with flows in operator algebras
• The Hardy spaces associated with a periodic flow on a von Neumann algebra
• Analyticity and flows in von Neumann algebras
• On non-commutative Hardy spaces associated with flows on finite von Neumann algebras
• Spectra of ergodic transformations
• Structure of some von Neumann algebras with isolated discrete modular spectrum
• A non-commutative extension of abstract integration
• Nonselfadjoint Crossed Products (Invariant Subspaces and Maximality)
• Une classification des facteurs de type ${\rm III}$
• Analyticity in Operator Algebras

This page was built for publication: Nonselfadjoint subalgebras associated with compact Abelian group actions on finite von Neumann algebras