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Cocycle rigidity of partially hyperbolic abelian actions with almost rank-one factors

Published online by Cambridge University Press:  27 November 2017

KURT VINHAGE
KURT VINHAGE*
Affiliation:
University of Chicago, Mathematics, Chicago, Illinois, 60637-5418, USA email [email protected]
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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.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 7 , July 2019 , pp. 2006 - 2016
Copyright
© Cambridge University Press, 2017 

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