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arxiv: 1003.5313 · v2 · pith:DW3JVCTQnew · submitted 2010-03-27 · 🧮 math.KT

K-Theory for the Leaf Space of Foliations formed by the Generic K-Ornits of some indecomposable MD₅-Groups

classification 🧮 math.KT
keywords foliationsconsideredalgebrasdimensionalformedgroupsk-theoryleaf
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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.

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