Alexander Lubotzky

activity

20242026

collaborators

4 papers

math.GR2026

Non Uniform Kazhdan Constant for Linear Groups

Alexander Lubotzky, Jvbin Yao

A group $Γ$ generated by a finite set $S$ has Property $(T)$ if the associated Kazhdan constant $κ (Γ, S)$ is positive. If so, the same holds for every finite generating set $S$ . The…

math.OA2026

$Z^{2}$ is flexibly stable in the operator norm

Alexander Lubotzky, Guy Salomon

A cornerstone of stability theory is Voiculescu's 1983 counterexample: he constructed a sequence of pairs of unitary matrices whose commutators converge to zero in the operator nor…

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.CO2024

Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom

Michael Chapman, Yotam Dikstein, Alexander Lubotzky

A long standing problem asks whether every group is sofic, i.e., can be separated by almost-homomorphisms to the symmetric group $S y m (n)$ . Similar problems have been asked with res…

Non Uniform Kazhdan Constant for Linear Groups

Z2 is flexibly stable in the operator norm

On L1-approximation of groups

Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom

$Z^{2}$ is flexibly stable in the operator norm

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