Semisimple extensions of irrational rotations

Mariusz Lemańczyk, Mieczysław K. Mentzen, Hitoshi Nakada

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 (ℤ-actions) which are relatively weakly mixing extensions of irrational rotations.

Original languageEnglish
Pages (from-to)31-57
Number of pages27
JournalStudia Mathematica
Volume156
Issue number1
Publication statusPublished - 2003

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Semisimple
Cocycle
Abelian group
Automorphisms

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Lemańczyk, M., Mentzen, M. K., & Nakada, H. (2003). Semisimple extensions of irrational rotations. Studia Mathematica, 156(1), 31-57.

Semisimple extensions of irrational rotations. / Lemańczyk, Mariusz; Mentzen, Mieczysław K.; Nakada, Hitoshi.

In: Studia Mathematica, Vol. 156, No. 1, 2003, p. 31-57.

Research output: Contribution to journalArticle

Lemańczyk, M, Mentzen, MK & Nakada, H 2003, 'Semisimple extensions of irrational rotations', Studia Mathematica, vol. 156, no. 1, pp. 31-57.
Lemańczyk M, Mentzen MK, Nakada H. Semisimple extensions of irrational rotations. Studia Mathematica. 2003;156(1):31-57.
Lemańczyk, Mariusz ; Mentzen, Mieczysław K. ; Nakada, Hitoshi. / Semisimple extensions of irrational rotations. In: Studia Mathematica. 2003 ; Vol. 156, No. 1. pp. 31-57.
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