The Ideal Structure of Certain Nonselfadjoint Operator Algebras

DOI10.2307/2001056zbMath0731.47045OpenAlexW4248453799MaRDI QIDQ3356944

Justin R. Peters

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001056

zbMATH Keywords

dynamical systemJacobson radicalsemicrossed productprime radicalformal Fourier seriesstrong radicaltransitive invariant subset

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Abstract operator algebras on Hilbert spaces (47L30) Structure, classification of topological algebras (46H20)

Related Items (12)

Crossed products of operator algebras: applications of Takai duality ⋮ Derivations for a class of matrix function algebras ⋮ Semicrossed products of operator algebras and their \(C^*\)-envelopes ⋮ Étale categories, restriction semigroups, and their operator algebras ⋮ Isomorphisms between topological conjugacy algebras ⋮ Crossed Products of Operator Algebras ⋮ Isomorphism invariants for multivariable \(C^\ast\)-dynamics ⋮ Invertibility and topological stable rank for semi-crossed product algebras ⋮ Semicrossed products of simple \(C^*\)-algebras ⋮ Semicrossed products of operator algebras by semigroups ⋮ The Jacobson radical for analytic crossed products ⋮ On radicals of triangular operator algebras

Cites Work

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• Semi-crossed products of C*-algebras
• Ergodic theory. Introductory lectures
• Radicals, crossed products, and flows
• Irreducible triangular algebras
• Locally compact transformation groups and 𝐶*-algebras
• Abstract Ergodic Theorems and Weak Almost Periodic Functions

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