5 citations · 20 across the 7 of their papers we have counts for
8 papers
ATmenability of some graphs of groups with cyclic edge groups
Mathieu Carette, Daniel T. Wise, Daniel J. Woodhouse
We show that certain graphs of groups with cyclic edge groups are aTmenable. In particular, this holds when each vertex group is either virtually special or acts properly and semis…
The Haagerup property is not invariant under quasi-isometry
Mathieu Carette, Kevin Whyte, Sylvain Arnt +2
Using the work of Cornulier-Valette and Whyte (see Appendix A for the latter), we show that neither the Haagerup property nor weak amenability is invariant under quasi-isometry of…
Commability of groups quasi-isometric to trees
Mathieu Carette
Commability is the finest equivalence relation between locally compact groups such that and are equivalent whenever there is a continuous proper homomorphism with…
Virtually splitting the map from Aut(G) to Out(G)
Mathieu Carette
We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic gro…
Locally compact convergence groups and n-transitive actions
Mathieu Carette, Dennis Dreesen
All sigma-compact, locally compact groups acting sharply n-transitively and continuously on compact spaces M have been classified, except for n=2,3 when M is infinite and disconnec…
Spectral rigidity of automorphic orbits in free groups
Stefano Francaviglia, Mathieu Carette, Ilya Kapovich +1
It is well-known that a point in the (unprojectivized) Culler-Vogtmann Outer space is uniquely determined by its \emph{translation length function} $||.||_T:F_N\…