Published Paper
Inserted: 2 jan 2020
Last Updated: 9 jan 2023
Journal: Ergodic Theory and Dynamical Systems
Volume: 42
Pages: 3490-3525
Year: 2022
Doi: https://doi.org/10.1017/etds.2021.91
Abstract:
Multiplicative constants are a fundamental tool in the study of maximal representations. In this paper we show how to extend such notion, and the associated framework, to measurable cocycles theory. As an application of this approach, we define and study the Cartan invariant for measurable $PU(m,1)$-cocycles of complex hyperbolic lattices.