Abstract
For amenable groups there are "correspondence principles" relating the behavior under group translation for sets of positive density to that of sets of positive invariant measure for ergodic actions of the group. When the group is also "minimally almost periodic" such actions are automatically weakly mixing; hence the name WM groups. We study here the combinatorial consequences of this state of affairs.
Original language | English |
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Pages (from-to) | 2572-2580 |
Number of pages | 9 |
Journal | Topology and its Applications |
Volume | 156 |
Issue number | 16 |
DOIs | |
State | Published - 1 Oct 2009 |
Keywords
- Amenable
- Hindman's theorem
- Minimally almost periodic
- Ultrafilter
- Weak mixing