Geodesic
Semisimple extensions of irrational rotations
Mariusz Lemańczyk 1   ; Mieczysław K. Mentzen 2   ; Hitoshi Nakada 3
1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
2 Faculty of Mathematics and Computer Sciences Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
3 Department of Mathematics Keio University 3-14-1, Hyoshi, Kohoku-ku Yokohama 223-8522, Japan
Studia Mathematica, Tome 156 (2003) no. 1, pp. 31-57 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm156-1-3
Keywords: semisimple actions c abelian groups cocycles values groups build examples semisimple automorphisms mathbb actions which relatively weakly mixing extensions irrational rotations

Mariusz Lemańczyk  1   ; Mieczysław K. Mentzen  2   ; Hitoshi Nakada  3

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
2 Faculty of Mathematics and Computer Sciences Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
3 Department of Mathematics Keio University 3-14-1, Hyoshi, Kohoku-ku Yokohama 223-8522, Japan 
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     title = {Semisimple extensions of irrational rotations},
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Mariusz Lemańczyk; Mieczysław K. Mentzen; Hitoshi Nakada. Semisimple extensions of irrational rotations. Studia Mathematica, Tome 156 (2003) no. 1, pp. 31-57. doi: 10.4064/sm156-1-3

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