Crossed Products of Operator Algebras

DOI10.1090/memo/1240zbMath1475.47002arXiv1512.08162OpenAlexW2963395997MaRDI QIDQ5383914

Elias G. Katsoulis, Christopher Ramsey

Publication date: 20 June 2019

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

Full work available at URL: https://arxiv.org/abs/1512.08162

zbMATH Keywords

operator algebracrossed productsemisimple algebratensor algebragauge actionDirichlet algebraC*-correspondenceTAF algebrasemi-Dirichlet algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Operator spaces and completely bounded maps (46L07) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Crossed product algebras (analytic crossed products) (47L65)

Related Items (14)

C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems ⋮ The isomorphism problem for tensor algebras of multivariable dynamical systems ⋮ Representations of Dirichlet operator algebras ⋮ On the Takai duality for \(L^p\) operator crossed products ⋮ \(C^\ast \)-operator systems and crossed products ⋮ Couniversality and controlled maps on product systems over right LCM semigroups ⋮ Product systems of \(\mathrm{C}^*\)-correspondences and Takai duality ⋮ Dilation theory: a guided tour ⋮ The hyperrigidity of tensor algebras of \(C^ \ast \)-correspondences ⋮ C*-envelope and dilation theory of semigroup dynamical systems ⋮ Tensor algebras of product systems and their \(C^\ast \)-envelopes ⋮ Hyperrigidity of C*-correspondences ⋮ Matrix bundles and operator algebras over a finitely bordered Riemann surface ⋮ Residually finite-dimensional operator algebras

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