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On the Finite Dimensional Unitary Representations of Kazhdan Groups

Proceedings of the American Mathematical Society / v.127 no.5. 1999, pp.1557-1562

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Abstract : We use A. Weils criterion to prove that all finite dimensional unitary representations of a discrete Kazhdan group are locally rigid. It follows that any such representation is unitarily equivalent to a unitary representation over some algebraic number field.

Keyword : Primary 22D10 . Secondary 22E40, 20G15 . Property (T) . Rigidity

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