Abstract
We prove the spectral gap property for free subgroups of SU(2) generated by elements satisfying a noncommutative diophantine property, in particular for free subgroups generated by elements with algebraic entries.
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Bourgain, J., Gamburd, A. On the spectral gap for finitely-generated subgroups of SU(2) . Invent. math. 171, 83–121 (2008). https://doi.org/10.1007/s00222-007-0072-z
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DOI: https://doi.org/10.1007/s00222-007-0072-z