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- W2039743176 abstract "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 $nu$ the Patterson-Sullivan measure on $X$. In this note we prove that the associated unitary representation of $Gamma$ on $L^2(B,nu)$ is irreducible. We also establish a new rigidity phenomenon: we show that some of the geometry of $M$, namely its marked length spectrum, is reflected in this $L^2$-representations." @default.
- W2039743176 created "2016-06-24" @default.
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- W2039743176 date "2011-02-15" @default.
- W2039743176 modified "2023-09-27" @default.
- W2039743176 title "Boundary unitary representations - irreducibility and rigidity" @default.
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