Semisimple extensions of irrational rotations

Mariusz Lemańczyk; Mieczysław K. Mentzen; Hitoshi Nakada

doi:10.4064/sm156-1-3

Semisimple extensions of irrational rotations

Mariusz Lemańczyk, Mieczysław K. Mentzen, Hitoshi Nakada

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	31-57
Number of pages	27
Journal	Studia Mathematica
Volume	156
Issue number	1
DOIs	https://doi.org/10.4064/sm156-1-3
Publication status	Published - 2003

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4064/sm156-1-3

Cite this

@article{f37e0869f89b49f9bdbde8b51054506c,

title = "Semisimple extensions of irrational rotations",

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.",

author = "Mariusz Lema{\'n}czyk and Mentzen, {Mieczys{\l}aw K.} and Hitoshi Nakada",

year = "2003",

doi = "10.4064/sm156-1-3",

language = "English",

volume = "156",

pages = "31--57",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Instytut Matematyczny",

number = "1",

}

TY - JOUR

T1 - Semisimple extensions of irrational rotations

AU - Lemańczyk, Mariusz

AU - Mentzen, Mieczysław K.

AU - Nakada, Hitoshi

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0038374902&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038374902&partnerID=8YFLogxK

U2 - 10.4064/sm156-1-3

DO - 10.4064/sm156-1-3

M3 - Article

AN - SCOPUS:0038374902

SN - 0039-3223

VL - 156

SP - 31

EP - 57

JO - Studia Mathematica

JF - Studia Mathematica

IS - 1

ER -

Semisimple extensions of irrational rotations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this