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On the finite dimensional unitary representations of Kazhdan groups
Author(s):
A.
Rapinchuk
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1557-1562.
MSC (1991):
Primary 22D10;
Secondary 22E40, 20G15
Posted:
January 29, 1999
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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:
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
Posted:
January 29, 1999
Additional Notes:
The author is partially supported by NSF Grant DMS-9700474.
Communicated by:
Roe Goodman
Copyright of article:
Copyright
1999,
American Mathematical Society
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