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.
Multiplicative constants and maximal measurable cocycles in bounded cohomology / Moraschini M.; Savini A.. - In: ERGODIC THEORY & DYNAMICAL SYSTEMS. - ISSN 0143-3857. - ELETTRONICO. - 42:11(2022), pp. 3490-3525. [10.1017/etds.2021.91]
Multiplicative constants and maximal measurable cocycles in bounded cohomology
Moraschini M.;
2022
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.File in questo prodotto:
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