The structure of connes’ C* – Algebras associated to a subclass of md5 – groups
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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.
Từ khóa
Lie group, Lie algebra, MD5-group, MD5-algebra, K-orbit, Foliation, Measured foliation, C*-algebra, Connes’ C*-algebras associated to a measured foliation