Dilations of \(C^*\)-correspondences and the simplicity of Cuntz-Pimsner algebras

DOI10.1006/jfan.2000.3703zbMath0985.46033OpenAlexW2080544904MaRDI QIDQ5931949

Jürgen Schweizer

Publication date: 9 May 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3703

zbMATH Keywords

\(C^*\)-correspondencecovariant homomorphismcrossed product \(C^*\)-algebraCuntz-Pimsner algebraHilbert \(C^*\)-bimodule

Mathematics Subject Classification ID

(C^*)-modules (46L08) Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Related Items (15)

Topological aperiodicity for product systems over semigroups of Ore type ⋮ Actions of symbolic dynamical systems on C*-algebras ⋮ Topological freeness for \(C^{\ast}\)-correspondences ⋮ Actions of symbolic dynamical systems on \(C^*\)-algebras. II: Simplicity of \(C^*\)-symbolic crossed products and some examples ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ The Calkin algebra is \(\aleph_1\)-universal ⋮ Couniversality and controlled maps on product systems over right LCM semigroups ⋮ The extension class and KMS states for Cuntz–Pimsner algebras of some bi-Hilbertian bimodules ⋮ CUNTZ–PIMSNER C*-ALGEBRAS ASSOCIATED WITH SUBSHIFTS ⋮ Crossed products for interactions and graph algebras ⋮ Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles ⋮ Unnamed Item ⋮ Contributions to the theory of $\mathrm{C}^{*}$-correspondences with applications to multivariable dynamics ⋮ Ideal structure of crossed products by endomorphisms via reversible extensions of C*-dynamical systems ⋮ Weighted Cuntz-Krieger algebras

Cites Work

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• Discrete product systems of Hilbert bimodules.
• Ideal structure and simplicity of the \(C^*\)-algebras generated by Hilbert bimodules
• Index for 𝐶*-subalgebras
• The C*-algebra of a Hilbert Bimodule
• The Crossed Product of a C ∗ -Algebra by an Endomorphism
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• On the Simplicity of some Cuntz-Pimsner Algebras
• The Toeplitz algebra of a Hilbert bimodule
• Crossed Products by Semigroups of Endomorphisms and the Toeplitz Algebras of Ordered Groups
• Quasi-Multipliers and Embeddings of Hilbert C*-Bimodules
• Faithful Representations of Crossed Products by Endomorphisms

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