FULL GROUPS, FLIP CONJUGACY, AND ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS

By S. Bezuglyi, Konstantin Medynets. 2006

52 citations recorded by the source corpus.

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

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/22d2c68a476407f6a5b05e5ea715bd923dc607f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. H. Matui
2. Volodymyr V. Nekrashevych

In Mathematical Physics

1. H. Matui
2. Volodymyr V. Nekrashevych
3. G'abor Szab'o
4. W. Winter
5. David Kerr
6. Xin Li
7. Aidan Sims
8. Konstantin Medynets

Citations in the corpus

• Some remarks on topological full groups of Cantor minimal systems II (2004, background): “Since then various properties of [[φ]] have been studied in [1, 7, 10].”