Group actions on Smale space -algebras

DOI10.1017/etds.2019.11zbMath1460.46062arXiv1709.01897OpenAlexW2962883607WikidataQ128061501 ScholiaQ128061501MaRDI QIDQ3303941

Karen R. Strung, Robin J. Deeley

Publication date: 5 August 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01897

zbMATH Keywords

group actionsRokhlin propertySmale spacesclassification of nuclear C*-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Classifications of (C^*)-algebras (46L35) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (1)

On finitely summable Fredholm modules from Smale spaces

Cites Work

• Rokhlin dimension: obstructions and permanence properties
• On an intermediate bivariant \(K\)-theory for \(C^*\)-algebras
• \(\mathcal{Z}\)-stability of crossed products by strongly outer actions
• A note on the growth of periodic points for commuting toral automorphisms
• Decomposition rank of UHF-absorbing \(C^\ast\)-algebras
• Quasidiagonality of nuclear \(\mathrm{C}^\ast\)-algebras
• Rokhlin dimension for flows
• Crossed product \(C^*\)-algebras by finite group actions with the tracial Rokhlin property
• Finite group actions on \(C^*\)-algebras with the Rohlin property. I
• Stability for integer actions on UHF \(C^*\)-algebras
• The \(C^*\)-algebras associated with minimal homeomorphisms of the Cantor set
• Equivariant KK-theory and the Novikov conjecture
• Noncommutative algebras for hyperbolic diffeomorphisms
• A groupoid approach to C*-algebras
• Currents, flows and diffeomorphisms
• A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
• The structure of \(C^*\)-algebras associated with hyperbolic dynamical systems
• The Baum-Connes conjecture for amenable foliations
• Homomorphisms of Bunce-Deddens algebras
• Finite group actions on \(C^{*}\)-algebras with the Rohlin property. II
• Period two automorphisms of UHF C*-algebras
• The Rohlin property for shifts on UHF algebras and automorphisms of Cuntz algebras
• Actions of compact groups on AF \(C^*\)-algebras
• Rokhlin dimension and \(C^\ast\)-dynamics
• Nuclear dimension, \(\mathcal Z\)-stability, and algebraic simplicity for stably projectionless \(C^\ast\)-algebras
• \(C^\ast\)-algebras of minimal dynamical systems of the product of a Cantor set and an odd dimensional sphere
• The Rohlin property for shifts of finite type
• Symmetries and reversing symmetries of toral automorphisms
• Smale spaces via inverse limits
• Minimal dynamics and the classification of C*-algebras
• Classifying crossed product C*-algebras
• Finite symmetry group actions on substitution tiling C*-algebras
• Crossed products by minimal homeomorphisms
• Completely positive maps of order zero
• The Automorphism Group of a Shift of Finite Type
• Outer conjugacy classes of automorphisms of factors
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• On a Simple Unital Projectionless C*-Algebra
• Automorphism groups of a class of expanding attractors
• Equivariant 𝐸-theory for 𝐶*-algebras
• Tracially AF 𝐶*-algebras
• Crossed products and minimal dynamical systems
• Nuclear dimension and classification of 𝐶*-algebras associated to Smale spaces
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• Rohklin dimension for C*-correspondences
• Textile systems for endomorphisms and automorphisms of the shift
• Thermodynamic Formalism
• The Rohlin property for automorphisms of UHF algebras
• An Introduction to Symbolic Dynamics and Coding
• NONCOMMUTATIVE GEOMETRY OF TILINGS AND GAP LABELLING
• C*-Algebras from Smale Spaces
• Rokhlin dimension for actions of residually finite groups
• Rokhlin dimension of ℤm-actions on simple C∗-algebras
• Freeness of actions of finite groups on C*-algebras
• The Rokhlin dimension of topological ℤ^m -actions
• Finite cyclic group actions with the tracial Rokhlin property
• Rokhlin dimension for compact group actions
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
• Covering Dimension of C*-Algebras and 2-Coloured Classification
• Differentiable dynamical systems
• Expanding attractors
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Group actions on Smale space -algebras