Strong continuity of invariant probability charges
Volume 101 / 2004
Colloquium Mathematicum 101 (2004), 135-142
MSC: 28A12, 43A07.
DOI: 10.4064/cm101-1-9
Abstract
Consider a semigroup action on a set. We derive conditions, in terms of the induced action of the semigroup on $\{ 0,1\}$-valued probability charges, which ensure that all invariant probability charges are strongly continuous.
