We compute the K-theory of the C*-algebra for a large class of foliations of the 3-torus, which contains in particular all smooth foliated circle bundles over the 2-torus. This generalizes a well-known result of Torpe. We show that the rank of the K-theory groups reflect part of the geometrical aspect of the foliation. To illustrate these results, we compute some concrete examples, including a case where both K-theory groups have infinite rank.
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