Boundary unitary representations - irreducibility and rigidity

Uri Bader, Roman Muchnik

Let $M$ be compact negatively curved manifold, $\Gamma ={\pi }_1(M)$ and $\tilde{M}$ be its universal cover. Denote by $B=\partial \tilde{M}$ the geodesic boundary of $\tilde{M}$ and by $\nu$…