Crossed products by minimal homeomorphisms

DOI10.1515/CRELLE.2010.029zbMath1196.46047arXivmath/0408291OpenAlexW2018662664MaRDI QIDQ3561024

Huaxin Lin, N. Christopher Phillips

Publication date: 17 May 2010

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

Full work available at URL: https://arxiv.org/abs/math/0408291

zbMATH Keywords

minimal homeomorphismtracial rank zerocrossed product C*-algebrassimple AH algebras

Mathematics Subject Classification ID

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

Related Items (30)

Topologically conjugate classifications of the translation actions on low-dimensional compact connected Lie groups ⋮ Recursive subhomogeneous algebras ⋮ Cancellation and stable rank for direct limits of recursive subhomogeneous algebras ⋮ Inheritance of divisibility forms a large subalgebra ⋮ Polynomial growth, comparison, and the small boundary property ⋮ Minimal dynamics and \(K\)-theoretic rigidity: Elliott's conjecture ⋮ Crossed products and minimal dynamical systems ⋮ Representations of étale groupoids on \(L^p\)-spaces ⋮ Constructing minimal homeomorphisms on point-like spaces and a dynamical presentation of the Jiang-Su algebra ⋮ Invariant ergodic measures and the classification of crossed product \(C^{\ast}\)-algebras ⋮ Permanence of real rank zero from a centrally large subalgebra to a C*-algebra ⋮ Group extensions preserve almost finiteness ⋮ Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces ⋮ Groups and dynamics: topology, measure, and Borel structure. Abstracts from the workshop held January 16--22, 2022 ⋮ Crossed product \(C^\ast\)-algebras of minimal dynamical systems on the product of the Cantor set and the torus ⋮ On a categorical framework for classifying \(C^\ast\)-dynamics up to cocycle conjugacy ⋮ The automorphism group of a simple tracially AI algebra ⋮ Group actions on Smale space -algebras ⋮ The classification of simple separable unital \(\mathcal{Z}\)-stable locally ASH algebras ⋮ Examples of different minimal diffeomorphisms giving the same \(C^*\)-algebras ⋮ The comparison properties and large subalgebra are inheritance ⋮ Entropy for 𝐶*-algebras with tracial rank zero ⋮ Crossed products of C∗-algebras C(X,A) and their applications ⋮ \(C^\ast\)-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere ⋮ Almost finiteness and the small boundary property ⋮ 𝒵-stability of transformation group C*-algebras ⋮ \(C^*\) exponential length of commutators unitaries in AH-algebras ⋮ Decomposition rank of approximately subhomogeneous \(C^*\)-algebras ⋮ Permanence of weak comparison for large subalgebras ⋮ Local trivializations of suspended minimal Cantor systems and the stable orbit-breaking subalgebra

Cites Work

• On the classification of \(C^*\)-algebras of real rank zero. II
• K-theoretic invariants for \(C^*\)-algebras associated to transformations and induced flows
• The Künneth theorem and the universal coefficient theorem for Kasparov's generalized K-functor
• Bounded topological orbit equivalence and \(C^*\)-algebras
• An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
• The structure of the irrational rotation \(C^*\)-algebra
• On local finite dimensional approximation of \(C^*\)-algebras
• Classification of simple \(C^*\)-algebras of tracial topological rank zero
• The Rokhlin property and the tracial topological rank
• Classification of certain infinite simple \(C^*\)-algebras
• Simple nuclear \(C^{*}\)-algebras of tracial topological rank one
• Minimal dynamical systems and approximate conjugacy
• Minimal dynamical systems on the product of the Cantor set and the circle
• The Tracial Topological Rank of C*-Algebras
• Classification of homomorphisms and dynamical systems
• On the topological stable rank of certain transformation group C*-algebras
• The positive cones of k₀-groups of crossed products associated with Furstenberg transformations on the 2-torus
• Tracially AF 𝐶*-algebras
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Zero-dimensional covers of finite dimensional dynamical systems
• Recursive subhomogeneous algebras
• Cancellation and stable rank for direct limits of recursive subhomogeneous algebras
• Strict Ergodicity and Transformation of the Torus

This page was built for publication: Crossed products by minimal homeomorphisms