Geodesic
On Almost Representations of Groups with Property (T)
Matematičeskie zametki, Tome 84 (2008) no. 2, pp. 219-230

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Kazhdan's property (T) for groups is equivalent to the alternative that a representation of such a group either has an invariant vector or does not have even almost invariant vectors. It is shown that, under a somewhat stronger condition due to Żuk, a similar alternative holds for almost representations.
Keywords: group representation, almost representation, Kazhdan's property (T) for groups, Kazhdan constant, group $C^*$-algebra, Hilbert space, linear operator.
Mots-clés : Żuk's condition 
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     author = {V. M. Manuilov and Yu. Chao},
     title = {On {Almost} {Representations} of {Groups} with {Property} {(T)}},
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     year = {2008},
     language = {ru},
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V. M. Manuilov; Yu. Chao. On Almost Representations of Groups with Property (T). Matematičeskie zametki, Tome 84 (2008) no. 2, pp. 219-230. http://geodesic.mathdoc.fr/item/MZM_2008_84_2_a4/