Subshifts and perforation

DOI10.1515/CRELLE.2010.012zbMath1201.46055MaRDI QIDQ5306046

David Kerr, Julien Giol

Publication date: 26 March 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

zbMATH Keywords

dynamical systemK-theoryminimal homeomorphismcrossed productsimple C*-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items (28)

Polynomial growth, comparison, and the small boundary property ⋮ Radius of comparison and mean cohomological independence dimension ⋮ Regularity of Villadsen algebras and characters on their central sequence algebras ⋮ Minimal dynamics and \(K\)-theoretic rigidity: Elliott's conjecture ⋮ Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras ⋮ Nuclear dimension of simple stably projectionless \(C^\ast\)-algebras ⋮ Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra ⋮ Nuclear dimension of simple \(\mathrm{C}^*\)-algebras ⋮ 𝐶*-algebras and their nuclear dimension ⋮ Ranks of operators in simple \(C^*\)-algebras with stable rank one ⋮ Regularity properties in the classification program for separable amenable C*-algebras ⋮ Constructing C*-diagonals in AH-algebras ⋮ Invariant ergodic measures and the classification of crossed product \(C^{\ast}\)-algebras ⋮ Amenable wreath products with non almost finite actions of mean dimension zero ⋮ Classifiable \(\mathrm{C}^*\)-algebras from minimal \(\mathbb{Z} \)-actions and their orbit-breaking subalgebras ⋮ Classifiability of crossed products by nonamenable groups ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Dimension, comparison, and almost finiteness ⋮ On a categorical framework for classifying \(C^\ast\)-dynamics up to cocycle conjugacy ⋮ Finitely generated nilpotent group \({C}^\ast\)-algebras have finite nuclear dimension ⋮ Almost finiteness and the small boundary property ⋮ 𝒵-stability of transformation group C*-algebras ⋮ Almost finiteness, comparison, and tracial \(\mathcal{Z}\)-stability ⋮ Comparison theory and smooth minimal \(C^*\)-dynamics ⋮ An algebraic approach to the radius of comparison ⋮ Finite decomposition rank for virtually nilpotent groups ⋮ QDQ vs. UCT ⋮ UHF-slicing and classification of nuclear C*-algebras

Cites Work

• Dimension functions and traces on C*-algebras
• \(C^*\)-algebras of real rank zero
• Dimension functions on simple \(C^*\)-algebras
• Simple \(C^*\)-algebras with perforation
• The structure of the irrational rotation \(C^*\)-algebra
• A simple \(C^ *\)-algebra with a finite and an infinite projection.
• Mean topological dimension
• On the classification problem for nuclear \(C^*\)-algebras
• Regularity properties in the classification program for separable amenable C*-algebras
• On the topological stable rank of certain transformation group C*-algebras
• On the stable rank of simple C*-algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• Obstructions to 𝒵-Stability for Unital Simple C^*-Algebras
• Primitive Ideals of C ∗ -Algebras Associated with Transformation Groups

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