Cocycle superrigidity and bounded cohomology for negatively curved spaces

We introduce new techniques to extend superrigidity theory beyond the scope of Lie or algebraic groups. We construct a cohomological invariant which accounts for, and generalizes, all known superrigidity results for actions on negatively curved spaces. Together with a new vanishing result and the machinery of bounded cohomology, this enables us to prove a general superrigidity theorem for actions of irreducible lattices on spaces of negative curvature. We also prove a cocycle version à la Zimmer


Published in:
Journal of Differential Geometry, 67, 3, 395-455
Year:
2004
Laboratories:




 Record created 2008-10-29, last modified 2018-09-13


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