3 papers
math.RA2026
Linear sofic representations of amenable algebras
Benjamin Bachner
We study the notion of linear sofic approximations for algebras, analogous to the concept of sofic representations for groups. We prove that for a finitely generated amenable -a…
math.GR2026
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…
math.GR2026
Uniform rank metric stability of Lie algebras and groups
Benjamin Bachner
We study uniform stability of discrete groups, Lie groups and Lie algebras in the rank metric, and the connections between uniform stability of these objects. We prove that semisim…