2011/11/18 by Robert Archbold, Archbold, Robert, Astrid an Huef +1
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA
paper · pdf · doi:10.48550/arxiv.1111.4282
arXiv admin note: substantial text overlap with arXiv:math/0508342
arxiv created 2011/11/18 · arxiv updated 2011/11/21
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.