Geodesic
Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles
Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 103-117

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We prove that every homomorphism from the elementary Chevalley group over a finitely generated unital commutative ring associated with a reduced irreducible classical root system of rank at least 2, and ME analogues of such groups, into an acylindrically hyperbolic group has an absolutely elliptic image. This result provides a non-arithmetic generalization of homomorphism superrigidity of Farb–Kaimanovich–Masur and Bridson–Wade
DOI : 10.4171/jems/760
Classification : 22-XX, 20-XX
Keywords: Property (T), quasi-cocycles, elementary Chevalley groups, acylindrically hyperbolic groups 
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     author = {Masato Mimura},
     title = {Superrigidity from {Chevalley} groups into acylindrically hyperbolic groups via quasi-cocycles},
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     pages = {103--117},
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     doi = {10.4171/jems/760},
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Masato Mimura. Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles. Journal of the European Mathematical Society, Tome 20 (2018) no. 1, pp. 103-117. doi: 10.4171/jems/760

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