On the characteristic classes of actions of lattices in higher rank Lie groups

Stuck, Garrett

doi:10.1090/S0002-9947-1991-0986031-0

On the characteristic classes of actions of lattices in higher rank Lie groups
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Trans. Amer. Math. Soc. 324 (1991), 181-200 Request permission

Abstract:

We show that under certain assumptions, the measurable cohomology class of the linear holonomy cocycle of a foliation yields information about the characteristic classes of the foliation. Combined with the results of a previous paper, this yields vanishing theorems for characteristic classes of certain actions of lattices in higher rank semisimple Lie groups.

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