Strength of convergence in non-free transformation groups

Details Strength of convergence in non-free transformation groups Strength of convergence in non-free transformation groups

2011-11-18

arxiv.org/abs/1111.4282v1

Mathematics

Operator Algebras

arXiv admin note: substantial text overlap with arXiv:math/0508342

Scientific paper

Let (G, X) be a transformation group where the group $G$ does not necessarily act freely on the space X. We investigate the extent to which the action of G may fail to be proper. Stability subgroups are used to define new notions of strength of convergence in the orbit space and of measure accumulation along orbits. By using the representation theory of the associated crossed product C^*-algebra, we show that these notions are equivalent under certain conditions.

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