|
|
|
Recent
Issues
|
|
Volume 52
|
1
|
|
|
|
|
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) 249-259
|
|
K-Theory
of the Leaf Space of Foliations Formed by the Generic K-Orbits of
Some Indecomposable MD5-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 K-orbits (MD5-foliations) of
connected MD5-groups
such that their Lie algebras have 4-dimensional commutative derived ideals
and give a topological classification of the considered foliations. In this
paper, we study K-theory of the
leaf space of some of these MD5-foliations
and analytically describe and characterize the Connes' C*-algebras of the considered foliations by the method of K-functors.
|
|
2000 Mathematics Subject Classification: Primary 22E45;
Secondary 46E25, 20C20.
|
|
Keywords: Lie group, Lie algebra, MD5-group, MD5-algebra, K-orbit, 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
|
|
