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
DOIs
Publication statusPublished - 2003 Jan 1

ASJC Scopus subject areas

  • Mathematics(all)

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    Lemańczyk, M., Mentzen, M. K., & Nakada, H. (2003). Semisimple extensions of irrational rotations. Studia Mathematica, 156(1), 31-57. https://doi.org/10.4064/sm156-1-3