9 citations · 18 across the 3 of their papers we have counts for
4 papers
Envelope Algebras of Partial Actions as Groupoid C*-Algebras
R. Exel, T. Giordano, D. Goncalves
We describe the envelope C*-algebra associated to a partial action of a countable discrete group on a locally compact space as a groupoid C*-algebra (more precisely as a C*-algebra…
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…
Some extremely amenable groups related to operator algebras and ergodic theory
Thierry Giordano, Vladimir Pestov
A topological group is called extremely amenable if every continuous action of on a compact space has a fixed point. This concept is linked with geometry of high dimensions…