Strength of convergence in the orbit space of a transformation group

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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.
27 pages

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Operator Algebras, 46L05, 46L39, 22D30, 57S05

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http://salesiana.dossiersoluciones.com/handle/123456789/76071

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508342
 http://arxiv.org/abs/math/0508342

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arXiv