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Strength of convergence in the orbit space of a transformation group

Robert Archbold·Astrid an Huef
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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.

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Robert Archbold, Astrid an Huef. 2005-08-18. Strength of convergence in the orbit space of a transformation group. https://arxiv.org/abs/math/0508342

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