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Minimal self-joinings for nonsingular transformations

Minimal self-joinings for nonsingular transformations

Abstract The notion of minimal self-joinings for conservative nonsingular actions is defined as a restriction on the nature of rational self-joinings. The need to consider rational joinings is demonstrated by showing that any two type II 1 actions whose Cartesian product is ergodic have type III λ nonsingular joinings. Lastly, …