| Rigidity of measures – the high entropy case, and non-commuting foliations (2009) | |||||||||||||||
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| Abstract. We consider invariant measures for partially hyperbolic, semisimple, higher rank actions on homogeneous spaces defined by products of real and p-adic Lie groups. In this paper we generalize our earlier work to establish measure rigidity in the high entropy case in that setting. We avoid any additional ergodicity-type assumptions but rely on, and extend the theory of conditional measures. 1. | |||||||||||||||
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