We show that semisimple actions of l.c.s.c. Abelian groups and cocycles with values in such groups can be used to build new examples of semisimple automorphisms (ℤ-actions) which are relatively weakly mixing extensions of irrational rotations.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-1-3,
author = {Mariusz Lema\'nczyk and Mieczys\l aw K. Mentzen and Hitoshi Nakada},
title = {Semisimple extensions of irrational rotations},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {31-57},
zbl = {1019.37001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-1-3}
}
Mariusz Lemańczyk; Mieczysław K. Mentzen; Hitoshi Nakada. Semisimple extensions of irrational rotations. Studia Mathematica, Tome 157 (2003) pp. 31-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm156-1-3/