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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Weak disjointness of transformation groups


Author: Reuven Peleg
Journal: Proc. Amer. Math. Soc. 33 (1972), 165-170
MSC: Primary 54H15
DOI: https://doi.org/10.1090/S0002-9939-1972-0298642-2
MathSciNet review: 0298642
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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 (X, T) and (Y, T) in a certain family of t.g. (X, T) and (Y, T) are disjoint iff they have no nontrivial common factor. Finally, we generalize some disjointness relations of [2] and [4].


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DOI: https://doi.org/10.1090/S0002-9939-1972-0298642-2
Keywords: Transformation groups, disjointness, eigenvalues
Article copyright: © Copyright 1972 American Mathematical Society