RIGIDITY FOR VON NEUMANN ALGEBRAS OF GRAPH PRODUCT GROUPS II.
SUPERRIGIDITY RESULTS Page 1 J. Inst. Math. Jussieu (2024), 1–40 doi:10.1017/S147474802400015X …

Let W be a finitely generated right-angled Coxeter group with group von Neumann algebra L
(W). We prove the following dichotomy: either L (W) is strongly solid or W contains Z× F 2 as …

We study graph products of groups from the viewpoint of measured group theory. We first
establish a full measure equivalence classification of graph products of countably infinite …

We prove that if two transvection-free right-angled Artin groups are measure equivalent, then
they have isomorphic extension graphs. As a consequence, two right-angled Artin groups …

Let-superrigidity of Bernoulli actions of all infinite conjugacy classes groups having a finite
generating set made of infinite-order elements where two consecutive elements commute …

We prove rigidity properties for von Neumann algebraic graph products. We introduce the
notion of rigid graphs and define a class of II $ _1 $-factors named $\mathcal {C} _ {\rm …

In this paper we study various rigidity aspects of the von Neumann algebra LpΓq where Γ is
a graph product group [Gr90] whose underlying graph is a certain cycle of cliques and the …

For a simple graph Γ and for unital C*-algebras with GNS-faithful states (A v, φ v) for v∈ V Γ,
we consider the reduced graph product (A, φ)=⁎ v, Γ (A v, φ v), and show that if every C …

We introduce the extension graph of graph product of groups and study its geometry. This
enables us to study properties of graph products of groups by exploiting large scale …

Bimodule coefficients, Riesz transforms on Coxeter groups and strong solidity Page 1 Groups
Geom. Dyn. 18 (2024), 501–549 DOI 10.4171/GGD/752 © 2023 European Mathematical Society …