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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the finite dimensional unitary representations of Kazhdan groups


Author: A. Rapinchuk
Journal: Proc. Amer. Math. Soc. 127 (1999), 1557-1562
MSC (1991): Primary 22D10; Secondary 22E40, 20G15
Published electronically: January 29, 1999
MathSciNet review: 1476387
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Abstract: We use A. Weil's 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.


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Additional Information

A. Rapinchuk
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
Email: asr3x@weyl.math.virginia.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04696-1
PII: S 0002-9939(99)04696-1
Keywords: Property (T), rigidity
Received by editor(s): July 18, 1997
Received by editor(s) in revised form: September 3, 1997
Published electronically: January 29, 1999
Additional Notes: The author is partially supported by NSF Grant DMS-9700474.
Communicated by: Roe Goodman
Article copyright: © Copyright 1999 American Mathematical Society