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Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems

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Bezuglyi S., Medynets K.

Colloquium Mathematicum

2008

tom 110

nr 2

409-429

We consider the full group [φ] and topological full group [[φ]] of a Cantor minimal system (X,φ). We prove that the commutator subgroups D([φ]) and D([[φ]]) are simple and show that the groups D([φ]) and D([[φ]]) completely determine the class of orbit equivalence and flip conjugacy of φ, respectively. These results improve the classification found in [GPS]. As a corollary of the technique used, we establish the fact that φ can be written as a product of three involutions from [φ].

Ograniczanie wyników

1 Colloquium Mathematicum

1 Bezuglyi S.

1 Medynets K.

1 2008

Wyniki wyszukiwania

Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems