Strength of convergence in the orbit space of a transformation group

Details Strength of convergence in the orbit space of a transformation group Strength of convergence in the orbit space of a transformation group

2005-08-18

arxiv.org/abs/math/0508342v1

Mathematics

Operator Algebras

27 pages

Scientific paper

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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