English

On the bounded cohomology of ergodic group actions

Dynamical Systems 2021-04-14 v3

Abstract

In this note we show existence of bounded, transitive cocycles over a transitive action of a finitely generated group, and bounded, ergodic cocycles over an ergodic, probability preserving action of Zd\Bbb Z^d.

Keywords

Cite

@article{arxiv.1712.05196,
  title  = {On the bounded cohomology of ergodic group actions},
  author = {Jon. Aaronson and Benjamin Weiss},
  journal= {arXiv preprint arXiv:1712.05196},
  year   = {2021}
}

Comments

Reorganized and new section added