8 citations · 9 across the 3 of their papers we have counts for
3 papers
Substitutional dynamical systems, Bratteli diagrams and dimension groups
Fabien Durand, Bernard Host, Christian Skau
The present paper explores substitution minimal systems and their relation to stationary Bratteli diagrams and stationary dimension groups. The constructions involved are algorithm…
The absorption theorem for affable equivalence relations
Thierry Giordano, Hiroki Matui, Ian F. Putnam +1
We prove a result about extension of a minimal AF-equivalence relation R on the Cantor set X, the extension being `small' in the sense that we modify R on a thin closed subset Y of…
Orbit equivalence for Cantor minimal Z^2-systems
Thierry Giordano, Hiroki Matui, Ian F. Putnam +1
We show that every minimal, free action of the group Z^2 on the Cantor set is orbit equivalent to an AF-relation. As a consequence, this extends the classification of minimal syste…