By David Fisher

During this paper we produce an invariant for any ergodic, finite entropy motion of a lattice in an easy Lie staff on a finite degree area. The invariant is basically an equivalence classification of measurable quotients of a definite sort. The quotients are primarily double coset areas and are made from a Lie crew, a compact subgroup of the Lie team, and a commensurability classification of lattices within the Lie team.

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