Strength of convergence in the orbit space of a transformation group
Operator Algebras
2007-05-23 v1
Abstract
Let (G, X) be a second-countable transformation group with G acting freely on X. It is shown that measure-theoretic accumulation of the action and topological strength of convergence in the orbit space X/G provide equivalent ways of quantifying the extent of non-properness of the action. These notions are linked via the representation theory of the transformation-group C*-algebra.
Keywords
Cite
@article{arxiv.math/0508342,
title = {Strength of convergence in the orbit space of a transformation group},
author = {Robert Archbold and Astrid an Huef},
journal= {arXiv preprint arXiv:math/0508342},
year = {2007}
}
Comments
27 pages