23 citations · 69 across the 17 of their papers we have counts for
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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…
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…
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…
The general linear group as a complete invariant for C*-algebras
Thierry Giordano, Adam Sierakowski
In 1955 Dye proved that two von Neumann factors not of type I_2n are isomorphic (via a linear or a conjugate linear *-isomorphism) if and only if their unitary groups are isomorphi…
Purely infinite partial crossed products
Thierry Giordano, Adam Sierakowski
Let (A,G,α) be a partial dynamical system. We show that there is a bijective correspondence between G-invariant ideals of A and ideals in the partial crossed product A xr G provide…
Some consequences of von Neumann algebra uniqueness
Thierry Giordano, Ping W. Ng
In this note, we derive some consequences of the von Neumann algebra uniqueness theorems developed in a previous paper (see arXiv:1207.6741v1). In particular, 1) we solvein a paper…