Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles
Superrigidity from Chevalley groups into acylindrically hyperbolic groups via quasi-cocycles
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DOI：
10.4171/jems/760
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发表时间：
2015-02
期刊：
影响因子：
--
通讯作者：
M. Mimura
中科院分区：
文献类型：
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作者：
M. Mimura
我们证明，从基本 Chevalley 群到与至少 2 阶的约简不可约经典根系相关的有限生成酉交换环以及此类群的 ME 类似物到圆柱双曲群的每个同态都具有绝对椭圆图像。这一结果提供了Farb-Kaimanovich-Masur 和Bridson-Wade 的同态超刚性的非算术推广。
We prove that every homomorphism from the elementary Chevalley group over a finitely generated unital commutative ring associated with reduced irreducible classical root system of rank at least 2, and ME analogues of such groups, into acylindrically hyperbolic groups has an absolutely elliptic image. This result provides a non-arithmetic generalization of homomorphism superrigidity of Farb--Kaimanovich--Masur and Bridson--Wade.