Abstract
We investigate joinings of strongly irreducible totally non-symplectic Anosov ℤk, 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 ℤk are conjugate over Q. We also obtain a description of the joining measures modulo the classification of zero entropy measures for the actions.
Original language | English (US) |
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Pages (from-to) | 507-523 |
Number of pages | 17 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 22 |
Issue number | 2 |
DOIs | |
State | Published - 2002 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics