Crossed products of C∗-algebras C(X,A) and their applications

DOI10.1142/S0129167X16500294zbMath1354.46063MaRDI QIDQ2797912

Jiajie Hua

Publication date: 1 April 2016

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

zbMATH Keywords

crossed productsclassification of \(C^*\)-algebrasrational generalized tracial rank

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

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• The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras
• The nuclear dimension of \(C^{*}\)-algebras
• Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups
• On approximation of normal operators by weighted shifts
• The state space of the \(K_ 0\)-group of a simple separable \(C^*\)- algebra
• Classification of simple \(C^{\ast}\)-algebras and higher dimensional noncommutative tori
• On tracial approximation
• On some \(C^ *\)-algebras considered by Glimm
• UHF-slicing and classification of nuclear C*-algebras
• MINIMAL DYNAMICS AND $\mathcal{Z}$-STABLE CLASSIFICATION
• AF-Embeddings of the Crossed Products of AH-Algebras by Finitely Generated Abelian Groups
• Crossed products by minimal homeomorphisms
• Simplicity of Crossed Products of C ∗ -Algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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