
Recent
Issues

Volume 52

1

2

3


Volume 51

1

2

3

4

Volume 50

1

2

3

4

Volume 49

1

2

3

4

Volume
48

1

2

3

4


Vietnam
Journal of Mathematics 38:2 (2010) 249259

KTheory
of the Leaf Space of Foliations Formed by the Generic KOrbits of
Some Indecomposable MD_{5}Group

Le Anh Vu and Duong
Quang Hoa

Abstract. The paper is a continuation of the
authors' work [18]. In [18], we consider foliations formed by the maximal
dimensional Korbits (MD_{5}foliations) of
connected MD_{5}groups
such that their Lie algebras have 4dimensional commutative derived ideals
and give a topological classification of the considered foliations. In this
paper, we study Ktheory of the
leaf space of some of these MD_{5}foliations
and analytically describe and characterize the Connes' C*algebras of the considered foliations by the method of Kfunctors.

2000 Mathematics Subject Classification: Primary 22E45;
Secondary 46E25, 20C20.

Keywords: Lie group, Lie algebra, MD_{5}group, MD_{5}algebra, Korbit, Foliation, Measured
foliation, C*algebra, Connes' C*algebra associated to a measured
foliation.


Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013

