Some remarks on topological full groups of Cantor minimal systems II

Details Some remarks on topological full groups of Cantor minimal systems II Some remarks on topological full groups of Cantor minimal systems II

2011-11-14

arxiv.org/abs/1111.3134v2

Mathematics

Dynamical Systems

8 pages

Scientific paper

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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