A𝕋-algebras from fiberwise essentially minimal zero-dimensional dynamical systems

DOI10.1142/S0129167X22500355zbMath1497.46075arXiv2103.04695OpenAlexW4224027014MaRDI QIDQ5073431

Paul Herstedt

Publication date: 29 April 2022

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

Full work available at URL: https://arxiv.org/abs/2103.04695

zbMATH Keywords

classificationdynamical systemszero-dimensional\(K\)-theory\(C^\ast\)-algebrasnoncommutative dynamics

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Cites Work

• On the classification of \(C^*\)-algebras of real rank zero. II
• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• A classification result for approximately homogeneous \(C^*\)-algebras of real rank zero
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• On the classification of C*-algebras of real rank zero.
• On the topological stable rank of certain transformation group C*-algebras
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Rokhlin dimension: duality, tracial properties, and crossed products
• C*-algebras of a Cantor system with finitely many minimal subsets: structures, K-theories, and the index map
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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