  The paper is a continuation of the authors' work in which we considered
foliations formed by the maximal dimensional K-orbits ($MD_5$-foliations) of
connected $MD_5$-groups such that their Lie algebras have 4-dimensional
commutative derived ideals and give the topological classification of
considered foliations. In this paper, we study K-theory for the leaf space of
some from these $MD_5$-foliations and analytically describes and characterized
Connes' C*-algebras of considered foliations by the method of K-functors.
