Topological groups with Rokhlin properties

Eli Glasner, and Benjamin Weiss. "Topological groups with Rokhlin properties." Colloquium Mathematicae 110.1 (2008): 51-80. <http://eudml.org/doc/284087>.

@article{EliGlasner2008,
abstract = {In his classical paper [Ann. of Math. 45 (1944)] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book, Lectures on Ergodic Theory, he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rokhlin. For this reason the name of Rokhlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups. In this paper we will survey some of the new developments in this area.},
author = {Eli Glasner, Benjamin Weiss},
journal = {Colloquium Mathematicae},
keywords = {Rokhlin property; weak mixing; measure preserving transformation; dense conjugacy class; group of homeomorphisms; Cantor group},
language = {eng},
number = {1},
pages = {51-80},
title = {Topological groups with Rokhlin properties},
url = {http://eudml.org/doc/284087},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Eli Glasner
AU - Benjamin Weiss
TI - Topological groups with Rokhlin properties
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 1
SP - 51
EP - 80
AB - In his classical paper [Ann. of Math. 45 (1944)] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book, Lectures on Ergodic Theory, he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rokhlin. For this reason the name of Rokhlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups. In this paper we will survey some of the new developments in this area.
LA - eng
KW - Rokhlin property; weak mixing; measure preserving transformation; dense conjugacy class; group of homeomorphisms; Cantor group
UR - http://eudml.org/doc/284087
ER -