Notes on the nuclearity of random subalgebras of \({\mathcal {O}_2}\)

DOI10.1007/S00605-008-0054-2zbMath1177.46047OpenAlexW2036906424MaRDI QIDQ1024220

Bernhard Burgstaller

Publication date: 16 June 2009

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-008-0054-2

zbMATH Keywords

Cuntz algebranuclearexact \(C^*\)-algebrasstochastic rank

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Probability theory on linear topological spaces (60B11)

Cites Work

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• The exactness of certain randomized \(C^{\ast }\)-algebras
• Completely contractive factorizations of \(C^*\)-algebras
• Ein operatorwertiger Hahn-Banach Satz
• On tensor products of certain group \(C^*\)-algebras
• Simple \(C^*\)-algebras generated by isometries
• A new application of random matrices: \(\operatorname{Ext} (C_{\text{red}}^*(F_2))\) is not a group
• Completely Bounded Maps on C ∗ -Algebras and Invariant Operator Ranges
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
• Classification of inductive limits of Cuntz algebras.

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