10 papers
Centralizers of sofic approximations of Kazhdan groups
Vadim Alekseev, Andreas Thom
We prove that a Kazhdan group admitting a sofic embedding into a metric ultraproduct of symmetric groups with a centralizer that acts ergodically on the associated Loeb probability…
On the Howe--Moore property for automorphism groups of buildings
Andreas Thom, Pierre-Emmanuel Caprace
Let be a closed type-preserving subgroup of the automorphism group of a thick locally finite building of finite rank, and assume that acts Weyl-transitively. We prove t…
On non-isomorphic universal sofic groups
Vadim Alekseev, Andreas Thom
We show that there are non-isomorphic universal sofic groups. This proves a conjecture of Simon Thomas.
The hyperfinite II-factor is Ulam stable
Vadim Alekseev, Andreas Thom
We prove Ulam stability of the hyperfinite II-factor with respect to the trace norm on the operator-norm unit ball. More precisely, every sufficiently additive, multiplicative,…
On the asymptotic equidistribution of word values in symmetric groups
Vadim Alekseev, Jakob Schneider, Andreas Thom
We prove an asymptotic equidistribution result for word values for words with constants in the symmetric group. We also speculate about simultaneous asymptotic equidistribution res…
Ulam stability for classes of nuclear C*-algebras
Vadim Alekseev, Ilijas Farah, Andreas Thom
We study Ulam stability for approximate *-homomorphisms of C*-algebras. We prove stability results for several classes of nuclear C*-algebras with respect to von Neumann algebra ta…