Introduces class C of groups with smooth conjugacy for minimal line actions, proves stability and inclusion of piecewise affine groups, and exhibits a finitely generated G not in C with amenability equivalent to Thompson's F.
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Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.
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Groups with classifiable actions on the line
Introduces class C of groups with smooth conjugacy for minimal line actions, proves stability and inclusion of piecewise affine groups, and exhibits a finitely generated G not in C with amenability equivalent to Thompson's F.
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Isomoprhism of generalized Bratteli diagrams
Every generalized Bratteli diagram is isomorphic to an irreducible version, with new notions of complete irreducibility linked to topological properties of the path space and tail equivalence.