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math.GR2024
Lifting Generators in Connected Lie Groups
Tal Cohen, Itamar Vigdorovich
Given an epimorphism between topological groups , when can a generating set of be lifted to a generating set of ? We show that for connected Lie groups the problem…
math.OA2024
Trace spaces of full free product -algebras
Adrian Ioana, Pieter Spaas, Itamar Vigdorovich
We study the space of traces associated with arbitrary full free products of unital, separable -algebras. We show that, unless certain basic obstructions (which we fully chara…
math.GR2024
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…