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abstract: We consider a class of partially hyperbolic diffeomorphisms introduced by the authors with Barthelm\'e which is open and closed and contains all known examples. If in addition the diffeomorphism is non-wandering, then we show it is accessible unless it contains a su-torus. This implies that these systems are ergodic when they preserve volume, confirming a conjecture by Hertz-Hertz-Ures for this class of systems.
Fenley et al. (Thu,) studied this question.