Trivialization of $\mathcal{C}(X)$-algebras with strongly self-absorbing fibres

DOI10.24033/BSMF.2567zbMath1170.46051arXiv0705.1497OpenAlexW2963819140MaRDI QIDQ3614864

Wilhelm Winter, Marius Dǎdǎrlat

Publication date: 16 March 2009

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1497

zbMATH Keywords

asymptotic unitary equivalencecontinuous field of \(C^* \)-algebrasstrongly self-absorbing \(C^* \)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (8)

A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras ⋮ Applications of model theory to \(C^*\)-dynamics ⋮ Minimal dynamics and \(K\)-theoretic rigidity: Elliott's conjecture ⋮ Decomposition rank and \(\mathcal{Z}\)-stability ⋮ Miscellaneous on commutants mod normed ideals and quasicentral modulus. I ⋮ Rokhlin dimension for flows ⋮ A non-commutative model for higher twistedK-theory ⋮ Locally trivial W∗-bundles

Cites Work

• Simple \(C^{*}\)-algebras with locally finite decomposition rank
• Equivariant KK-theory and the Novikov conjecture
• Generalized inductive limits of finite-dimensional \(C^*\)-algebras
• \({\mathcal{C}}_{0}(X)\)-algebras, stability and strongly self-absorbing \({\mathcal{C}}^{*}\)-algebras
• Localizing the Elliott conjecture at strongly self-absorbing \(C^*\)-algebras
• Strongly self-absorbing $C^{*}$-algebras
• Champs continus d'espaces hilbertiens et de $C^*$-algèbres
• Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras
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