| DOI: 10.1017/S014338570200024X Printed in the United Kingdom Measurable rigidity and disjointness for Z k actions by toral automorphisms (2001) | |||||||||||||||
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| Abstract. We investigate joinings of strongly irreducible totally non-symplectic Anosov Z k, k ≥ 2 actions by toral automorphisms. We show that the existence of a non-trivial joining has strong implications for these actions, in particular, that the restrictions of the actions to a finite index subgroup of Z k are conjugate over Q. We also obtain a description of the joining measures modulo the classification of zero entropy measures for the actions. 1. | |||||||||||||||
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