Geodesic
Specific properties of one-dimensional pseudorepresentations of groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 247-255.

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We obtain assertions concerning general properties of one-dimensional (not necessarily bounded) pseudorepresentations of groups. In particular, we obtain a quantitative condition on the numerical defect of a given pseudorepresentation which is sufficient for the pseudorepresentation to be pure, i.e., for the restriction of the given pseudorepresentation to every amenable subgroup be an ordinary character of this subgroup. 
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A. I. Shtern. Specific properties of one-dimensional pseudorepresentations of groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 247-255. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a20/

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