K-Theory for the Leaf Space of Foliations formed by the Generic K-Ornits of some indecomposable $MD_5$-Groups

Abstract

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.