Invariant subspaces and cocyles in nonselfadjoint crossed products

DOI10.1016/0022-1236(82)90017-9zbMath0536.46045OpenAlexW2016396601MaRDI QIDQ791844

Kichi-Suke Saito

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90017-9

zbMATH Keywords

invariant subspacescocyclesabelian groupfactordual groupone-parameter group of trace preserving *-automorphismsvon Neumann algebra crossed product

Mathematics Subject Classification ID

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

Related Items (6)

A note on maximality of analytic crossed products ⋮ Every nonreflexive subspace of $L_1[0,1$ fails the fixed point property] ⋮ Nonselfadjoint subalgebras associated with compact Abelian group actions on finite von Neumann algebras ⋮ Invariant subspaces and representations of certain von Neumann algebras ⋮ On some subalgebras of von Neumann algebras with analyticity ⋮ Invariant subspaces for algebras of analytic operators associated with a periodic flow on a finite von Neumann algebra

Cites Work

• Duality for crossed products and the structure of von Neumann algebras of type III
• 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
• Analyticity and flows in von Neumann algebras
• On non-commutative Hardy spaces associated with flows on finite von Neumann algebras
• A non-commutative extension of abstract integration
• A Note on Invariant Subspaces for Finite Maximal Subdiagonal Algebras
• Nonselfadjoint Crossed Products (Invariant Subspaces and Maximality)
• Analyticity in Operator Algebras
• A structure theory for isometric representations of a class of semigroups.
• Maximal Weak- ∗ Dirichlet Algebras
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