Boundary maps and reducibility for cocycles into CAT(0)-spaces

Autor:	Sarti, Filippo, Savini, Alessio
Rok vydání:	2020
Předmět:	Mathematics - Geometric Topology 57T10 53C35 22E40 22D40
Druh dokumentu:	Working Paper
Popis:	We prove that a non-elementary measurable cocycle in the isometry group of a CAT(0)-space of finite telescopic dimension admits a Furstenberg map. We also show that a maximal cocycle $\sigma:\Gamma \times X \rightarrow \text{PU}(p,\infty)$ where $\Gamma < \text{PU}(n,1)$ is a torsion-free lattice and $(X,\mu_X)$ is a ergodic standard Borel $\Gamma$-space is finitely reducible. As a consequence, we prove an infinite dimensional rigidity phenomenon for cocycles. Comment: 26 pages, new version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.10529 Zobrazit plný text záznamu View this record from Arxiv