On the topological full group of a minimal Cantor 𝐙²-system

DOI10.1090/S0002-9939-2013-11654-0zbMath1278.37011arXiv1201.0257OpenAlexW3122522253MaRDI QIDQ2845429

Nicolas Monod, Gábor Elek

Publication date: 30 August 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0257

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Cantor systems, piecewise translations and simple amenable groups ⋮ A dichotomy for topological full groups ⋮ Dynamical alternating groups, stability, property Gamma, and inner amenability ⋮ The Generation Problem in Thompson Group 𝐹 ⋮ Amenability of Groups and G-Sets ⋮ A Tits alternative for topological full groups ⋮ Topological full groups of minimal subshifts with subgroups of intermediate growth ⋮ Extensive amenability and an application to interval exchanges ⋮ Unnamed Item ⋮ Algebraic invariants for group actions on the Cantor set ⋮ Orbit equivalence rigidity of equicontinuous systems ⋮ \(\mathrm{C}^\ast\)-simplicity and representations of topological full groups of groupoids ⋮ Topological Full Groups of Étale Groupoids

Cites Work

• Unnamed Item
• Cantor systems, piecewise translations and simple amenable groups
• Measures invariant under actions of \(F_ 2\)
• Hyperlinearity, essentially free actions and \(L^2\)-invariants. The sofic property
• Full groups of Cantor minimal systems
• Almost periodic points with respect to transformation semi-groups
• On algebraic properties of topological full groups
• SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS
• Amenable actions, free products and a fixed point property