6 citations · 6 across the 7 of their papers we have counts for
7 papers
Polynomial Hilbert-Schmidt stability of the lamplighter group
Alon Dogon, Thomas Vidick
We establish explicit polynomial bounds on the stability rate and radius of the lamplighter group. This provides the first example of an infinitely presented group with an explicit…
On -approximation of groups
Benjamin Bachner, Alon Dogon, Alexander Lubotzky
A longstanding open problem in the intersection of group theory and operator algebras is whether all groups are MF, that is, approximated by asymptotic representations with respect…
Non-uniform higher-rank lattices are character rigid
Alon Dogon, Michael Glasner, Yuval Gorfine +2
We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for proba…
Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices
Alon Dogon, Itamar Vigdorovich
We prove that if the group is flexibly Hilbert--Schmidt stable for some prime , then it admits a non-hyperlinear finite central extension. Conseq…
Characters of diagonal products and Hilbert-Schmidt stability
Alon Dogon, Arie Levit, Itamar Vigdorovich
We initiate a quantitative study of Hilbert-Schmidt stability for infinitely presented groups through the novel notion of stability radius growth. We exhibit an uncountable family…
Flexible Hilbert-Schmidt stability versus hyperlinearity for property (T) groups
Alon Dogon
We prove a statement concerning hyperlinearity for central extensions of property (T) groups in the presence of flexible HS-stability, and more generally, weak ucp-stability. Notab…
On uniform Hilbert Schmidt stability of groups
Danil Akhtiamov, Alon Dogon
A group is said to be uniformly HS stable if any map that is almost a unitary representation (w.r.t. the Hilbert Schmidt norm) is close to a genuine unitary repr…