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20012025
most citedOrbit equivalence for Cantor minimal Z^d-systems

23 citations · 69 across the 17 of their papers we have counts for

collaborators

21 papers

math.DS2025

-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…

math.OA2024

Variations on quantum de Finetti theorems and operator valued Martin boundaries: a Choquet-Deny approach

Benoît Collins, Thierry Giordano, Ryosuke Sato

We revisit the quantum de Finetti theorem. We state and prove a couple of variants thereof. In parallel, we introduce an operator version of the Martin boundary on quantum groups a…

math.OA2018

A relative bicommutant theorem: the stable case of Pedersen's question

Thierry Giordano, Ping W. Ng

In 1976, D. Voiculescu proved that every separable unital sub-C*-algebra of the Calkin algebra is equal to its (relative) bicommutant. In his minicourse (see reference), G. Pederse…

math.OA2017

On the geometry of idempotents in von Neumann algebras

Thierry Giordano, Adam Sierakowski

We consider the general linear group as an invariant of von Neumann factors. We prove that up to complement, a set consisting of all idempotents generating the same right ideal adm…

math.DS2017★ 4 cited

-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…

math.NA2017

Anisotropic space-time adaptation for reaction-diffusion problems

Edward Boey, Yves Bourgault, Thierry Giordano

A residual error estimator is proposed for the energy norm of the error for a scalar reaction-diffusion problem and for the monodomain model used in cardiac electrophysiology. The…