Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592990 | Journal of Functional Analysis | 2006 | 32 Pages |
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 nonproperness of the action. These notions are linked via the representation theory of the transformation-group C∗-algebra C0(X)⋊G.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory