Some remarks on topological full groups of Cantor minimal systems II

2011/11/14 by Hiroki Matui, Matui, Hiroki · 5 citations
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #Computability, Logic, AI Algorithms

paper · pdf · doi:10.48550/arxiv.1111.3134

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.

Citations

• On Groups of Measure Preserving Transformations. I

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