The structure of connes’ C* – Algebras associated to a subclass of md5 – groups

Tóm tắt

The paper is a continuation of the authors’ works [18], [19]. In [18], we consider foliations formed by the maximal dimensional K-orbits (MD₅-foliations) of connected MD₅-groups that their Lie algebras have 4-dimensional commutative derived ideals and give a topological classification of the considered foliations. In [19], we study K-theory of the leaf space of some of these MD₅-foliations, analytically describe and characterize the Connes’ C*-algebras of the considered foliations by the method of K-functors. In this paper, we consider the similar problem for all remains of these MD₅-foliations.