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Characteristic classes for $$A$$-bundles. (English) Zbl 0856.57022
Bureš, J. (ed.) et al., Proceedings of the Winter School on geometry and physics, Srní, Czech Republic, January 1994. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 39, 57-71 (1996).
The authors generalize a construction of Connes by defining for an $$A$$-bundle $$E$$ over smooth manifold $$X$$ and a reduced cyclic cohomology class $$c$$ a sequence of de Rham cohomology classes $$ch_c^k (E)$$. Here $$A$$ is a convenient algebra, defined by the authors, and $$E$$ is a locally trivial bundle with standard fibre a right finitely generated projective $$A$$-module and bounded $$A$$-modules homomorphisms as transition functions.
For the entire collection see [Zbl 0840.00036].
Reviewer: F.Gomez (Malaga)
##### MSC:
 57R20 Characteristic classes and numbers in differential topology 55R65 Generalizations of fiber spaces and bundles in algebraic topology