Non-commutative differential geometry

Alain Connes

Displaying similar documents to “Non-commutative differential geometry”

Homological index formulas for elliptic operators over C*-algebras.

Wahl, Charlotte (2009)

The New York Journal of Mathematics [electronic only]

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Splitting of Gysin extensions.

Berrick, A.J., Davydov, A.A. (2001)

Algebraic & Geometric Topology

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Secondary invariants for Frechet algebras and quasihomomorphisms.

Perrot, Denis (2008)

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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.