The Crossed Product of a C ∗ -Algebra by an Endomorphism

DOI10.2307/2042155zbMath0435.46045OpenAlexW4254369747MaRDI QIDQ3874757

William L. Paschke

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/2042155

zbMATH Keywords

invariant idealscrossed productsimplestrongly amenable C*-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (31)

Extensions of \(C^*\)-dynamical systems to systems with complete transfer operators ⋮ Fractional skew monoid rings. ⋮ Semicrossed products of \(C^*\)-algebras and their \(C^*\)-envelopes ⋮ Crossed products of \(C^*\)-algebras by endomorphisms ⋮ The C*-algebras of some inverse semigroups ⋮ The graded structure of algebraic Cuntz-Pimsner rings ⋮ Semigroups of *-endomorphisms, Dirichlet series, and phase transitions ⋮ The Rokhlin property for endomorphisms and strongly self-absorbing \(C^{*}\)-algebras ⋮ Faithful Representations of Crossed Products by Endomorphisms ⋮ Stacey crossed products associated to Exel systems ⋮ Fixed points of compact quantum groups actions on Cuntz algebras ⋮ The embedding of \(\mathcal{O}_{d_{1}d_{2}}\) into \(\mathcal{O}_{d_{1}}\otimes\mathcal{O}_{d_{2}}\) ⋮ The groupoid \(C^\ast\)-algebra of a rational map ⋮ Crossed products for interactions and graph algebras ⋮ Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. II: Cuntz-Krieger algebras ⋮ Crossed product of a \(C^\ast\)-algebra by a semigroup of interactions ⋮ Actions of compact quantum groups on 𝐶*-algebras ⋮ Generalized Cuntz-Krieger algebras ⋮ Dilations of \(C^*\)-correspondences and the simplicity of Cuntz-Pimsner algebras ⋮ Groupoids Associated with Endomorphisms ⋮ Covariance algebra of a partial dynamical system ⋮ Purely infinite crossed products by endomorphisms ⋮ Semi-étale groupoids and applications ⋮ Simplicity of crossed products by endomorphisms ⋮ Crossed Products by Semigroups of Endomorphisms and the Toeplitz Algebras of Ordered Groups ⋮ Crossed products by endomorphisms of \(C_{0}(X)\)-algebras ⋮ Discrete product systems and twisted crossed products by semigroups ⋮ Contributions to the theory of $\mathrm{C}^{*}$-correspondences with applications to multivariable dynamics ⋮ $C^{*}$-algebras associated with real multiplication ⋮ Applications of the Connes spectrum to C*-dynamical systems. III ⋮ C*-algebras associated with interval maps

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