Some remarks on topological full groups of Cantor minimal systems II

DOI10.1017/S0143385712000399zbMath1293.37010arXiv1111.3134MaRDI QIDQ2873996

Hiroki Matui

Publication date: 28 January 2014

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

Full work available at URL: https://arxiv.org/abs/1111.3134

Mathematics Subject Classification ID

Symbolic dynamics (37B10) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items

Subshifts with slow complexity and simple groups with the Liouville property ⋮ On a measurable analogue of small topological full groups ⋮ TOPOLOGICAL FULL GROUPS OF -ALGEBRAS ARISING FROM -EXPANSIONS ⋮ Continuous cocycle superrigidity for shifts and groups with one end ⋮ Homology andK-theory of dynamical systems I. Torsion-free ample groupoids ⋮ Presentations of topological full groups by generators and relations ⋮ Palindromic subshifts and simple periodic groups of intermediate growth ⋮ On full groups of non-ergodic probability-measure-preserving equivalence relations ⋮ Homology of odometers ⋮ Topological full groups of minimal subshifts with subgroups of intermediate growth

Cites Work

• Unnamed Item
• On the simplicity of the full group of ergodic transformations
• Full groups of Cantor minimal systems
• Orbit equivalence for Cantor minimal \(\mathbb Z^d\)-systems
• SOME REMARKS ON TOPOLOGICAL FULL GROUPS OF CANTOR MINIMAL SYSTEMS
• Topological properties of full groups
• Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems