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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.GR2025
A continuum of non-measure equivalent groups
Adrian Ioana, Robin Tucker-Drob
We construct a continuum sized family of pairwise non-measure equivalent countable groups which have property (T) (hence are finitely generated)…