Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Horbez, Camille"'
Autor:
Escalier, Amandine, Horbez, Camille
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 groups over finite simple graphs with no transvection and no partial c
Externí odkaz:
http://arxiv.org/abs/2401.04635
Autor:
Horbez, Camille, Huang, Jingyin
Let $G$ be a right-angled Artin group with $|\mathrm{Out}(G)|<+\infty$. We prove that if a countable group $H$ with bounded torsion is measure equivalent to $G$, with an $L^1$-integrable measure equivalence cocycle towards $G$, then $H$ is finitely g
Externí odkaz:
http://arxiv.org/abs/2309.12147
Let $n\ge 3$, and let $\mathrm{Out}(W_n)$ be the outer automorphism group of a free Coxeter group $W_n$ of rank $n$. We study the growth of the dimension of the homology groups (with coefficients in any field $\mathbb{K}$) along Farber sequences of f
Externí odkaz:
http://arxiv.org/abs/2209.02760
Autor:
Horbez, Camille, Huang, Jingyin
We prove that all (generalized) Higman groups on at least $5$ generators are superrigid for measure equivalence. More precisely, let $k\ge 5$, and let $H$ be a group with generators $a_1,\dots,a_k$, and Baumslag-Solitar relations given by $a_ia_{i+1}
Externí odkaz:
http://arxiv.org/abs/2206.00884
Autor:
Hensel, Sebastian, Horbez, Camille
Let $V$ be a connected $3$-dimensional handlebody of finite genus at least $3$. We prove that the handlebody group $\mathrm{Mod}(V)$ is superrigid for measure equivalence, i.e. every countable group which is measure equivalent to $\mathrm{Mod}(V)$ is
Externí odkaz:
http://arxiv.org/abs/2111.10064
Let $G_\Gamma\curvearrowright X$ and $G_\Lambda\curvearrowright Y$ be two free measure-preserving actions of one-ended right-angled Artin groups with trivial center on standard probability spaces. Assume they are irreducible, i.e. every element from
Externí odkaz:
http://arxiv.org/abs/2110.04141
Autor:
Guirardel, Vincent, Horbez, Camille
We prove that for every $N\ge 3$, the group $\mathrm{Out}(F_N)$ of outer automorphisms of a free group of rank $N$ is superrigid from the point of view of measure equivalence: any countable group that is measure equivalent to $\mathrm{Out}(F_N)$, is
Externí odkaz:
http://arxiv.org/abs/2103.03696
Autor:
Horbez, Camille, Huang, Jingyin
Publikováno v:
Journal de l'\'Ecole polytechnique - Math\'ematiques, Tome 9 (2022), pp. 1021-1067
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 with finite outer automorphism groups are measure equivalent if and o
Externí odkaz:
http://arxiv.org/abs/2010.03613
Proper proximality of a countable group is a notion that was introduced by Boutonnet, Ioana and Peterson as a tool to study rigidity properties of certain von Neumann algebras associated to groups or ergodic group actions. In the present paper, we es
Externí odkaz:
http://arxiv.org/abs/2005.08756
Publikováno v:
Journal of Modern Dynamics, 2022, 18: 291-344
We prove a rigidity result for cocycles from higher rank lattices to $\mathrm{Out}(F_N)$ and more generally to the outer automorphism group of a torsion-free hyperbolic group. More precisely, let $G$ be either a product of connected higher rank simpl
Externí odkaz:
http://arxiv.org/abs/2005.07477