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arxiv: 1111.3134 · v2 · pith:OH3XZ22Wnew · submitted 2011-11-14 · 🧮 math.DS · math.GR

Some remarks on topological full groups of Cantor minimal systems II

classification 🧮 math.DS math.GR
keywords fullgroupsminimalprovetopologicalarisingassociatedcantor
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We prove that commutator subgroups of topological full groups arising from minimal subshifts have exponential growth. We also prove that the measurable full group associated to the countable, measure-preserving, ergodic and hyperfinite equivalence relation is topologically generated by two elements.

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