# Structure of function algebras on foliated manifolds

## (*Lobachevskii Journal of Mathematics, Volume XIV*)

We consider a manifold *M* with a foliation *F* given by a locally free action of a commutative Lie group *H*. Also we assume that there exists an integrable Ehresmann connection on *(M, F)* invariant with respect to the action of the group *H*. We get the structure of the restriction of the algebra *C*_{0}(M) to the leaves in three partial cases. Also we consider a classification of the quasiinvariant measures and means on the leaves of *F*.