Semisimple extensions of irrational rotations
Mariusz Lemańczyk; Mieczysław K. Mentzen; Hitoshi Nakada
Studia Mathematica (2003)
- Volume: 156, Issue: 1, page 31-57
- ISSN: 0039-3223
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topMariusz Lemańczyk, Mieczysław K. Mentzen, and Hitoshi Nakada. "Semisimple extensions of irrational rotations." Studia Mathematica 156.1 (2003): 31-57. <http://eudml.org/doc/284954>.
@article{MariuszLemańczyk2003,
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 Lemańczyk, Mieczysław K. Mentzen, Hitoshi Nakada},
journal = {Studia Mathematica},
keywords = {joinings of automorphisms; regularity; ergodicity; examples; cocycles},
language = {eng},
number = {1},
pages = {31-57},
title = {Semisimple extensions of irrational rotations},
url = {http://eudml.org/doc/284954},
volume = {156},
year = {2003},
}
TY - JOUR
AU - Mariusz Lemańczyk
AU - Mieczysław K. Mentzen
AU - Hitoshi Nakada
TI - Semisimple extensions of irrational rotations
JO - Studia Mathematica
PY - 2003
VL - 156
IS - 1
SP - 31
EP - 57
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.
LA - eng
KW - joinings of automorphisms; regularity; ergodicity; examples; cocycles
UR - http://eudml.org/doc/284954
ER -
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