### Topology of the C*-algebra bundles, by Igor Nikolaev

Abstract: Using the methods of the noncommutative geometry and the K-theory,
we prove that the well-known Dixmier-Douady invariant of continuous-trace
C^*-algebras and the Godbillon-Vey invariant of the codimension-1 foliations
on compact manifolds coincide in a class of the so-called "foliation derived"
C^*-algebra bundles. Moreover, with the help of such bundles both of the
above invariants admit an elegant interpretation as Pontrjagin's invariants
of the homotopy equivalent mappings of the three-dimensional complex into the
two-dimensional sphere.

Alternative email address: .

Igor Nikolaev <nikolaev@math.uqam.ca>