On Ideals of Nest Subalgebras of C* -Algebras

DOI10.1112/PLMS/S3-50.2.314zbMath0529.46044OpenAlexW2049796033MaRDI QIDQ3311140

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Publication date: 1985

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-50.2.314

zbMATH Keywords

Cuntz algebraprincipal ideal domaininterpolation problemself-adjoint projectionsmaximal nestnest subalgebrasultramatricial subalgebraVolterra nest subalgebras of C*- algebras of operators on L2(0,1)

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15)

Related Items (10)

Algebraic isomorphisms of limit algebras ⋮ A Note on Subdiagonality for Triangular AF Algebras ⋮ Limit algebras and integer-valued cocycles, revisited ⋮ Inductive limits in the operator system and related categories ⋮ On triangular subalgebras of groupoid \(C^*\)-algebras ⋮ Maximal Triangular Subalgebras Need not be Closed ⋮ Quasitriangular operator algebras ⋮ Essentially Triangular Algebras ⋮ Connectedness of the invertibles in certain nest algebras of order type \(\omega\) ⋮ Connecting invertible analytic Toeplitz operators in \(G(\mathcal{T}(\mathcal{P}^\bot))\)

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