Alon Dogon

activity

20202026

most citedOn uniform Hilbert Schmidt stability of groups

6 citations · 6 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.GR2025

On $L^{1}$ -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…

math.GR2025

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…

math.GR2025

Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices

Alon Dogon, Itamar Vigdorovich

We prove that if the group $SL_{2} (Z [1/ p])$ is flexibly Hilbert--Schmidt stable for some prime $p$ , then it admits a non-hyperlinear finite central extension. Conseq…

On L1-approximation of groups

Non-uniform higher-rank lattices are character rigid

Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices

On $L^{1}$ -approximation of groups