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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)
57R20 Characteristic classes and numbers in differential topology
55R65 Generalizations of fiber spaces and bundles in algebraic topology