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arXiv · 1010.5840

Ergodic Actions of Convergent Fuchsian groups on quotients of the noncommutative Hardy algebras

Alvaro Arias·Frederic Latremoliere
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Abstract

We establish that particular quotients of the non-commutative Hardy algebras carry ergodic actions of convergent discrete subgroups of the group $\operatorname*{SU}(n,1)$ of automorphisms of the unit ball in $\mathbb{C}% ^{n}$. To do so, we provide a mean to compute the spectra of quotients of noncommutative Hardy algebra and characterize their automorphisms in term of biholomorphic maps of the unit ball in $\mathbb{C}^{n}$.

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Alvaro Arias, Frederic Latremoliere. 2010-10-28. Ergodic Actions of Convergent Fuchsian groups on quotients of the noncommutative Hardy algebras. https://arxiv.org/abs/1010.5840

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