Some remarks on topological full groups of Cantor minimal systems II
Dynamical Systems
2012-04-03 v2 Group Theory
Abstract
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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Cite
@article{arxiv.1111.3134,
title = {Some remarks on topological full groups of Cantor minimal systems II},
author = {Hiroki Matui},
journal= {arXiv preprint arXiv:1111.3134},
year = {2012}
}
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8 pages