|I. NIKOLAEV, CRM, Université de Montréal, Montréal, Québec H3C 3J7, Canada|
|3-manifolds, foliations and|
J. F. Plante  classified 3-dimensional manifolds M such that every foliation on M has a compact leaf. Plante's method is based on estimation of `growth rate' of the fundamental group .
We show that calculation of a `dimension function' of K0-group of the crossed product -algebra generated by leads to series of results covering Plante's classification.
1. J. F. Plante, Foliations with measure preserving holonomy. Ann. of Math. 102(1975), 327-361.