Purely Infinite, Simple C*-Algebras Arising From Free Product Constructions

DOI10.4153/CJM-1998-017-xzbMath0919.46040arXivfunct-an/9601004OpenAlexW2327354050MaRDI QIDQ4213980

Mikael Rørdam, Kenneth J. Dykema

Publication date: 26 August 1999

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9601004

zbMATH Keywords

statesCuntz algebraapproximately divisible \(C^\ast\)-algebrascrossed product of a \(C^\ast\)-algebra by an injective endomorphismpurely infinite simple unital \(C^\ast\)-algebrasreduced free product \(C^\ast\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Decomposition theory for (C^*)-algebras (46L45)

Related Items (12)

A simple separable C*-algebra not isomorphic to its opposite algebra ⋮ A separable Brown-Douglas-Fillmore theorem and weak stability ⋮ The Calkin algebra, Kazhdan's property (T), and strongly self‐absorbing C∗$\mathrm{C}^*$‐algebras ⋮ Purely infinite simple reduced \(C^*\)-algebras of one-relator separated graphs ⋮ Non-simple purely infinite \(C^{*}\)-algebras: The Hausdorff case. ⋮ Fixed points of compact quantum groups actions on Cuntz algebras ⋮ Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\) ⋮ AF-embeddings into \(C^*\)-algebras of real rank zero ⋮ Purely infinite crossed products by endomorphisms ⋮ Simplicity of crossed products by endomorphisms ⋮ Simplicity and the stable rank of some free product C*-algebras ⋮ Purely infinite, simple 𝐶*-algebras arising from free product constructions. III

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