\(\mathcal{C}u\)-nuclearity implies LLP and exactness

zbMath1482.46064MaRDI QIDQ2045877

Cristian Ivanescu, Dan Z. Kučerovský

Publication date: 16 August 2021

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2021/27-36.html

zbMATH Keywords

\(C^*\)-algebranuclearity

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Tensor products of (C^*)-algebras (46L06) Convex sets and cones of operators (47L07) Dual spaces of operator algebras (47L50)

Cites Work

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• The Cuntz semigroup and comparison of open projections
• Une notion de nucléarité en K-théorie (d'après J. Cuntz). (A notion of nuclearity in K-theory (in the sense of J. Cuntz))
• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• A non-nuclear \(C^*\)-algebra with the weak expectation property and the local lifting property
• Traces and Pedersen ideals of tensor products of nonunital \(C^\ast\)-algebras
• On nuclear C\(^*\)-algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• The Cuntz semigroup as an invariant for C*-algebras
• Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem
• Produits tensoriels topologiques et espaces nucléaires

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