Geodesic
Semisimple extensions of irrational rotations
Mariusz Lemańczyk1 ; Mieczysław K. Mentzen2 ; Hitoshi Nakada3
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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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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