Function algebras on groupoid of foliation generated by locally free action of commutative Lie group

P. N. Ivanshin

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University

Abstract: In this article we consider a foliation generated by a locally free action of commutative Lie group, which admits an invariant integrable Ehresmann connection, and construct invariants of this foliation with the use of algebras of functions on the groupoid of this foliation.