A theory of essential values of cocycles over minimal rotations with values in locally compact Abelian groups, especially , is developed. Criteria for such a cocycle to be conservative are given. The group of essential values of a cocycle is described.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-8,
author = {Mieczys\l aw K. Mentzen},
title = {On groups of essential values of topological cylinder cocycles over minimal rotations},
journal = {Colloquium Mathematicae},
volume = {96},
year = {2003},
pages = {241-253},
zbl = {1030.54031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-8}
}
Mieczysław K. Mentzen. On groups of essential values of topological cylinder cocycles over minimal rotations. Colloquium Mathematicae, Tome 96 (2003) pp. 241-253. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm95-2-8/