Topology of the C*{algebra bundles
نویسنده
چکیده
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.
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