Weak disjointness of transformation groups

Abstract

Two transformation groups (t.g.) are called weakly disjoint if their product is ergodic. We characterize this relation for a certain class of t.g. and then prove that for (<italic>X</italic>, <italic>T</italic>) and (<italic>Y</italic>, <italic>T</italic>) in a certain family of t.g. (<italic>X</italic>, <italic>T</italic>) and (<italic>Y</italic>, <italic>T</italic>) are disjoint iff they have no nontrivial common factor. Finally, we generalize some disjointness relations of [<bold>2</bold>] and [<bold>4</bold>].

Locations

• Proceedings of the American Mathematical Society - View - PDF