1. Multiplicative constants and maximal measurable cocycles in bounded cohomology
- Author
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Marco Moraschini, Alessio Savini, Moraschini M., and Savini A.
- Subjects
Pure mathematics ,Mathematics::Dynamical Systems ,Applied Mathematics ,General Mathematics ,Multiplicative function ,Lattice ,Geometric Topology (math.GT) ,Cohomology ,Mathematics - Geometric Topology ,Maximal cocycle ,Mathematics::Quantum Algebra ,Bounded function ,FOS: Mathematics ,Bounded cohomology ,Boundary map ,Invariant (mathematics) ,Zimmer cocycle ,Mathematics - 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 $\textup{PU}(m,1)$-cocycles of complex hyperbolic lattices., Comment: 35 pages; Major corrections along the paper following the referee's suggestions. To appear in Ergod. Theory Dyn. Syst
- Published
- 2021