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We extend the recent progress on the cocycle rigidity of partially hyperbolic homogeneous abelian actions to the setting with rank-one factors in the universal cover. The method of proof relies… Click to show full abstract
We extend the recent progress on the cocycle rigidity of partially hyperbolic homogeneous abelian actions to the setting with rank-one factors in the universal cover. The method of proof relies on the periodic cycle functional and analysis of the cycle structure, but uses a new argument to give vanishing.
Keywords:
cocycle rigidity;
abelian actions;
partially hyperbolic;
rank one;
one factors;
rigidity partially
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2017
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!