Space of group orderings, quasi morphisms and bounded cohomology
Group Theory
2010-07-07 v2 Algebraic Topology
Abstract
For a group , we construct a quasi morphism from its left orderings and the map from the space of left orderings to the second bounded cohomology. We show that these maps reflect various properties of the group orderings.
Cite
@article{arxiv.1006.5491,
title = {Space of group orderings, quasi morphisms and bounded cohomology},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:1006.5491},
year = {2010}
}
Comments
14 pages, no figures, The statement of Theorem 1 is corrected