Semisimple extensions of irrational rotations
Volume 156 / 2003
Studia Mathematica 156 (2003), 31-57
MSC: Primary 37A05; Secondary 37A25.
DOI: 10.4064/sm156-1-3
Abstract
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 (${\mathbb Z}$-actions) which are relatively weakly mixing extensions of irrational rotations.
