Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590029 | Journal of Functional Analysis | 2015 | 48 Pages |
Abstract
We study universal properties of locally compact G-spaces for countable infinite groups G. In particular we consider open invariant subsets of the G-space βG, and their minimal closed invariant subspaces. These are locally compact free G-spaces, and the latter are also minimal. We examine the properties of these G-spaces with emphasis on their universal properties.As an example of our results, we use combinatorial methods to show that each countable infinite group admits a free minimal action on the locally compact non-compact Cantor set.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hiroki Matui, Mikael Rørdam,