Semisimple extensions of irrational rotations
Mariusz Lemańczyk ; Mieczysław K. Mentzen ; Hitoshi Nakada
Studia Mathematica, Tome 157 (2003), p. 31-57 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284954
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     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}
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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/