Some remarks on topological full groups of Cantor minimal systems

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

2004-04-06

arxiv.org/abs/math/0404117v3

Mathematics

Dynamical Systems

16 pages

Scientific paper

Giordano, Putnam and Skau showed that topological full groups of Cantor
minimal systems are complete invariants for flip conjugacy. We will completely
determine the structure of normal subgroups of the topological full group.
Moreover, a necessary and sufficient condition for the topological full group
to be finitely generated will be given.

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