Phenomena in rank-one ℤ²-actions

Tomasz Downarowicz; Jacek Serafin

Studia Mathematica (2009)

  • Volume: 192, Issue: 3, page 281-294
  • ISSN: 0039-3223

Abstract

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We present an example of a rank-one partially mixing ℤ²-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.

How to cite

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Tomasz Downarowicz, and Jacek Serafin. "Phenomena in rank-one ℤ²-actions." Studia Mathematica 192.3 (2009): 281-294. <http://eudml.org/doc/284464>.

@article{TomaszDownarowicz2009,
abstract = {We present an example of a rank-one partially mixing ℤ²-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.},
author = {Tomasz Downarowicz, Jacek Serafin},
journal = {Studia Mathematica},
keywords = {rank-1; partial mixing; centralizer},
language = {eng},
number = {3},
pages = {281-294},
title = {Phenomena in rank-one ℤ²-actions},
url = {http://eudml.org/doc/284464},
volume = {192},
year = {2009},
}

TY - JOUR
AU - Tomasz Downarowicz
AU - Jacek Serafin
TI - Phenomena in rank-one ℤ²-actions
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 3
SP - 281
EP - 294
AB - We present an example of a rank-one partially mixing ℤ²-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.
LA - eng
KW - rank-1; partial mixing; centralizer
UR - http://eudml.org/doc/284464
ER -

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