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Infinitesimal rigidity of boundary lattice actions

Published online by Cambridge University Press:  01 February 1999

A. KONONENKO
A. KONONENKO
Affiliation:
D. E. Shaw & Co (e-mail: [email protected])
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Abstract

In Part 1 we describe a duality method for calculating twisted cocycles. In Part 2 we use our method to prove various results on cohomological rigidity of higher-rank cocompact lattice actions. In Part 3 we use the results of Parts 1 and 2 to prove infinitesimal rigidity of the actions of cocompact lattices on the maximal boundaries of some non-compact type symmetric spaces.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 1 , February 1999 , pp. 35 - 60
Copyright
1999 Cambridge University Press

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