collaborators

7 papers

math.GR2025

PolExp growth for automorphisms of toral relatively hyperbolic groups

Rémi Coulon, Arnaud Hilion, Camille Horbez +1

Let be a toral relatively hyperbolic group, and let . We prove that, under iteration of , the conjugacy length of every element …

math.GR2025

Integrable measure equivalence rigidity of right-angled Artin groups via quasi-isometry

Camille Horbez, Jingyin Huang

Let be a right-angled Artin group with . We prove that if a countable group with bounded torsion is measure equivalent to , with an -inte…

math.OA2025

Rigidity for graph product von Neumann algebras

Camille Horbez, Adrian Ioana

We establish rigidity theorems for graph product von Neumann algebras associated to finite simple graphs and families of tracial von Neumann algebras $(M_v)…

math.GR2025

Measure equivalence rigidity of

Vincent Guirardel, Camille Horbez

We prove that for every , the group of outer automorphisms of a free group of rank is superrigid from the point of view of measure equivalence: any…

math.GR2025

Measure equivalence classification of right-angled Artin groups: the finite classes

Camille Horbez, Jingyin Huang

Given a right-angled Artin group with finite outer automorphism group, we determine which right-angled Artin groups are measure equivalent (or orbit equivalent) to .

math.GR2025

Measure equivalence rigidity among the Higman groups

Camille Horbez, Jingyin Huang

We prove that all (generalized) Higman groups on at least generators are superrigid for measure equivalence. More precisely, let , and let be a group with generator…