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Some remarks on topological full groups of Cantor minimal systems II

Published online by Cambridge University Press:  24 July 2012

HIROKI MATUI
HIROKI MATUI*
Affiliation:
Graduate School of Science, Chiba University, Inage-ku, Chiba 263-8522, Japan (email: [email protected])
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 5 , October 2013 , pp. 1542 - 1549
Copyright
Copyright © 2012 Cambridge University Press 

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