Mathematical Research Letters

Volume 2, Issue 3, May 1995 pp. 345-357.

Smooth cocycles rigidity for lattice actions

Authors: A. Kononenko
Author institution: Pennsylvania State University

Summary: We apply the duality method to prove a rigidity theorem for smooth cocycles of actions of higher rank cocompact lattices on a class of homogeneous spaces. In particular, in the split case, we explicitly find all the smooth cocycles of actions of lattices on the imaginary boundaries of symmetric spaces.

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