Hilbert modules over a class of semicrossed products

DOI10.1090/S0002-9939-00-05691-4zbMath0973.46039MaRDI QIDQ2706586

Dale R. Buske

Publication date: 20 March 2001

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

zbMATH Keywords

Hilbert modulescommutant liftingsemicrossed productdisc algebranon-selfadjoint operator algebraorthogonally projective modulesShilov and orthogonally projective modulsShilov modules

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Rings and algebras of continuous, differentiable or analytic functions (46E25) Structure, classification of topological algebras (46H20)

Related Items (4)

Isomorphisms between topological conjugacy algebras ⋮ Hilbert modules over a class of semicrossed products ⋮ Semicrossed products of simple \(C^*\)-algebras ⋮ Semicrossed products of operator algebras by semigroups

Cites Work

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• Invertible composition operators on \(H^ p\)
• Semicrossed products of the disk algebra: Contractive representations and maximal ideals
• Subalgebras of \(C^ *\)-algebras
• Hilbert modules over a class of semicrossed products
• Completely contractive representations for some doubly generated antisymmetric operator algebras
• Hilbert modules over operator algebras
• On the semi-groups of isometries

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