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math.GR2023
The Space of Traces of the Free Group and Free Products of Matrix Algebras
Joav Orovitz, Raz Slutsky, Itamar Vigdorovich
We show that the space of traces of the free group on generators is a Poulsen simplex, i.e., every trace is a pointwise limit of extreme traces. This f…
math.GR2023
Spectral gap and character limits in arithmetic groups
Arie Levit, Raz Slutsky, Itamar Vigdorovich
We establish vanishing results for limits of characters in various discrete groups, most notably irreducible lattices in higher rank semisimple Lie groups. As an application, we sh…