Displaying similar documents to “Non-commutative differential geometry”

C-Fredholm operators (IV).

Hari Bercovici (1990)

Publicacions Matemàtiques

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The purpose of this paper is to develop, in the context of operators of class C, a theory of Fredholm complexes analogous to that in [6], including an index stability result under perturbations. As a by-product, a simple proof of the additivity of the index for C-Fredholm operators will be given.

Characteristic classes for A -bundles

Cap, Andreas, Schichl, Hermann

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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 c h 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.