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math.GR2026
On the unitary cohomology of semisimple groups
Uri Bader, Michael Glasner, Yuval Gorfine +1
We study the continuous homology and cohomology of semisimple Lie groups with coefficients in arbitrary unitary representations. The case of irreducible representations was determi…
math.GR2025
Non-uniform higher-rank lattices are character rigid
Alon Dogon, Michael Glasner, Yuval Gorfine +2
We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for proba…
math.GR2023
Boundary Representations of Locally Compact Hyperbolic Groups
Michael Glasner
We develop the theory of Patterson-Sullivan measures on the boundary of a locally compact hyperbolic group, associating to certain left invariant metrics on the group measures on t…