A purely infinite AH-algebra and an application to AF-embeddability

DOI10.1007/BF02772211zbMath1062.46051arXivmath/0205292OpenAlexW2078920103MaRDI QIDQ1885648

Mikael Rørdam

Publication date: 11 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0205292

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items

The nuclear dimension of \(\mathcal{O}_\infty \)-stable \(C^\ast \)-algebras ⋮ Non-stable \(K\)-theory and extremally rich \(C^\ast\)-algebras ⋮ On the nuclear dimension of strongly purely infinite \(C^\ast\)-algebras ⋮ AF‐embeddability for Lie groups with T1 primitive ideal spaces ⋮ A CLASS OF C*-ALGEBRAS GENERALIZING BOTH GRAPH ALGEBRAS AND HOMEOMORPHISM C*-ALGEBRAS II, EXAMPLES ⋮ Traceless AF embeddings and unsuspended \(E\)-theory ⋮ Elementary amenable groups are quasidiagonal

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite non-simple \(C\)*-algebras: absorbing the Cuntz algebra \({\mathcal O}_\infty\)
• \(C^*\)-algebras of real rank zero
• Approximately central matrix units and the structure of noncommutative tori
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• On stability of \(C^*\)-algebras
• Homotopy invariance of AF-embeddability
• Non-simple purely infinite \(C^{*}\)-algebras: The Hausdorff case.
• Notes on a class of simple \(C^*\)-algebras with real rank zero
• A note on quasi-diagonal \(C^*\)-algebras and homotopy
• A simple \(C^ *\)-algebra with a finite and an infinite projection.
• Purely infinite \(C^*\)-algebras: ideal-preserving zero homotopies
• Non-simple purely infinite C*-algebras
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2