3 papers
math.GR2026
Characters of surface groups
David Gao, Adrian Ioana, Itamar Vigdorovich
We initiate the study of characters of surface groups and their corresponding tracial representations. We show that any tracial representation can be approximated arbitrarily well…
math.OA2025
Structural properties of reduced -algebras associated with higher-rank lattices
Itamar Vigdorovich
We present the first examples of higher-rank lattices whose reduced -algebras satisfy strict comparison, stable rank one, selflessness, uniqueness of embeddings of the Jiang…
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…