23 citations · 69 across the 17 of their papers we have counts for
9 papers · 1 filter
-dimension groups
Thierry Giordano, Ian F. Putnam, Christian F. Skau
We study a class of simple dimension groups in which the cyclic subgroup generated by the order unit is replaced by a copy of satisfying some strict conditions. Ou…
-odometers and cohomology
Thierry Giordano, Ian F. Putnam, Christian F. SKau
Cohomology for actions of free abelian groups on the Cantor set has (when endowed with an order structure) provided a complete invariance for orbit equivalence. In this paper, we s…
Approximate transitivity of the ergodic action of the group of finite permutations of on
B. Mitchell Baker, Thierry Giordano, Radu B. Munteanu
In this paper we show that the natural action of the symmetric group acting on the product space endowed with a symmetric measure is approximately transit…
Bratteli-Vershik models for partial actions of
Thierry Giordano, Daniel Gonçalves, Charles Starling
Let and be open subsets of the Cantor set with finite disjoint complements, and let be a homeomorphism with dense orbits. Building from the ideas of Herman, Putn…
Orbit equivalence of Cantor minimal systems and their continuous spectra
Thierry Giordano, David Handelman, Maryam Hosseini
To any continuous eigenvalue of a Cantor minimal system , we associate an element of the dimension group associated to . We introduce and study the c…
Nonsingular transformations and dimension spaces
Thierry Giordano, David Handelman, Radu B. Munteanu
For any adic transformation defined on the path space of an ordered Bratteli diagram, endowed with a Markov measure , we construct an explicit dimension space (which cor…