Representations of Non-Self-Adjoint Crossed Products

DOI10.1112/plms/s3-47.1.128zbMath0523.46039OpenAlexW2046330866MaRDI QIDQ3036105

Paul S. Muhly, Michael J. McAsey

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1112/plms/s3-47.1.128

zbMATH Keywords

crossed productdisk algebraVolterra algebracontractive homomorphismC*-representationcompletely contractive representationstructure of norm-closed subalgebras of C*-algebrasunique covariant representation

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Noncommutative dynamical systems (46L55) Abstract operator algebras on Hilbert spaces (47L30) Automorphisms of selfadjoint operator algebras (46L40) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (20)

Crossed products of operator algebras: applications of Takai duality ⋮ Semicrossed products of \(C^*\)-algebras and their \(C^*\)-envelopes ⋮ Schur products and matrix completions ⋮ Semi-discreteness and dilation theory for nest algebras ⋮ Commutant lifting and interpolation: The time-varying case ⋮ The norm closed triple semigroup algebra ⋮ Semicrossed products of operator algebras and their \(C^*\)-envelopes ⋮ Isomorphisms between topological conjugacy algebras ⋮ Crossed Products of Operator Algebras ⋮ Problems about reflexive algebras ⋮ Representations of logmodular algebras ⋮ Extensions of operator algebras. I. ⋮ Semicrossed products of simple \(C^*\)-algebras ⋮ Semicrossed products of operator algebras by semigroups ⋮ Operator algebras for multivariable dynamics ⋮ Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes ⋮ An automorphic form of Ando's theorem ⋮ Weak crossed products and a generalisation of a result of Sarason ⋮ On radicals of triangular operator algebras ⋮ The ideal structure of some analytic crossed products

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