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arXiv · 0801.2951

The Topology of Foliations Formed by the Generic K-Orbits of a Subclass of the Indecomposable MD5-Groups

Le Anh Vu·Duong Quang Hoa
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Abstract

The present paper is a continuation of [13], [14] of the authors. Specifically, the paper considers the MD5-foliations associated to connected and simply connected MD5-groups such that their Lie algebras have 4-dimensional commutative derived ideal. In the paper, we give the topological classification of all considered MD5-foliations. A description of these foliations by certain fibrations or suitable actions of $\mathbb{R}^{2}$ and the Connes' C*-algebras of the foliations which come from fibrations are also given in the paper.

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Le Anh Vu, Duong Quang Hoa. 2008-01-18. The Topology of Foliations Formed by the Generic K-Orbits of a Subclass of the Indecomposable MD5-Groups. https://doi.org/10.1007/s11425-009-0017-7

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