### Coverings of foliations anf associated C*-algebras.

Moto O'Uchi (1986)

Mathematica Scandinavica

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Moto O'Uchi (1986)

Mathematica Scandinavica

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Mathematica Scandinavica

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In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.

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